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Articles of General Type
| 4 |
G.-M. Greuel:
Zentralblatt MATH -- Herausforderungen und Perspektiven. Erscheint in Mitteilungen der DMV 2012 (2012), 5 pqges.
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| 3 |
G.-M. Greuel:
Zentralblatt MATH. Newsletter of the EMS, issue 83, March 2012, Editorial (2012), 3-4.
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| 2 |
S. Bönisch, G.-M. Greuel, W. Sperber:
Building an Information Service for Mathematical Software - the SMATH Project. Newsletter of the EMS, issue 83, March 2012 (2012), 51-52.
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| 1 |
G.-M. Greuel:
Mathematics between Research, Application and Communication. Extended version of a talk held in Obidos, September 2010. To be published in 'Raising Public awareness of Mathematics' by Springer Verlag (2012), 25 pages.
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Books
| 8 |
G.-M. Greuel, A.D. Matt (Hrsg.):
Imaginary: Mit den Augen der Mathematik. Mathematisches Forschungsinstitut Oberwolfach (2008), 125 pages, many illustrations.
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| 7 |
G.-M. Greuel, R. Remmert, G. Rupprecht (Hrsg.):
Mathematik - Motor der Wirtschaft. Springer Verlag, Berlin, Heidelberg, New York (2008), 125 pages.
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| 6 |
G.-M. Greuel, G. Pfister:
A
SINGULAR
Introduction to Commutative Algebra, 2nd Edition. Springer Verlag, Berlin, Heidelberg, New York (2008), 705 pages.
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| 5 |
G.-M. Greuel, C. Lossen, E. Shustin:
Introduction to Singularities and Deformations. Springer Verlag, Berlin, Heidelberg, New York (2006), 476 pages.
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| 4 |
G.-M. Greuel, G. Pfister:
A
SINGULAR
Introduction to Commutative Algebra. Springer Verlag, Berlin, Heidelberg, New York (2002), 605 pages.
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| 3 |
V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink (Eds.) :
Singularities. The Brieskorn Anniversary Volume. Springer Verlag, Berlin, Heidelberg, New York.
Series: Progress in Mathematics , Vol. 162 (1998).
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| 2 |
G.-M. Greuel, B.H. Matzat, G. Hiss (Eds.) :
Algorithmic Algebra and Number Theory. Springer Verlag, Berlin, Heidelberg, New York (1998), 442 pages.
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| 1 |
G.-M. Greuel, G. Trautmann (Eds.) :
Singularities, Representation of Algebras, and Vectorbundles. In: Lambrecht Proceedings 1985. Lecture Notes in Math. 1273. Springer Verlag, Berlin, Heidelberg, New York (1987).
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Refereed Papers
| 83 |
G.-M. Greuel, Nguyen H. D.:
Some Remarks on the Planar Kouchnirenko's Theorem. Rev. Mat. Complut., Online First, DOI 10.1007/s13163-011-0082-7 (2011), 17 pages.
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| 82 |
Y. Boubakri, G.-M. Greuel, T. Markwig:
Normal Forms of Hypersurface Singularities in Positive Characteristic. Moscow Math. Journal, Volume 11, Number 4 (2011), 26 pages.
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| 81 |
Y. Boubakri, G.-M. Greuel, T. Markwig:
Invariants of Hypersurface Singularities in Positive Characteristic. Rev. Mat. Complut. 25, doi:10.1007/s13163-010-0056-1 (2012), 61-85.
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| 80 |
L. Bodnarchuk, Y. Drozd, G.-M. Greuel:
Simple Vector Bundles on Plane Degenerations of an Elliptic Curve. Trans. Amer. Math. Soc. 364 (2012), 137-174.
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| 79 |
G.-M. Greuel, S. Laplagne, F. Seelisch:
Normalization of Rings. J. Symb. Comput. 45, doi:10.1016/j.jsc.2010.04.002 (2010), 887-901.
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| 78 |
G.-M. Greuel, F. Seelisch, O. Wienand:
The Groebner Basis of the Ideal of Vanishing Polynomials. J. Symb. Comput. 46, doi:10.1016/j.jsc.2010.10.006 (2011), 561-570.
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| 77 |
O. Wienand, M. Wedler, D. Stoffel, W. Kunz, G.-M. Greuel:
An algebraic approach for proving data correctness in arithmetic data paths. Proc. International Conference Computer Aided Verification (CAV), July 2008, Princeton, NJ, USA (2008), 473-486.
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| 76 |
D. Ilsen, E. J. Roebbers, G.-M. Greuel:
Algebraic and Combinatorial Algorithms for Translinear Network Synthesis. IEEE Transactions on Circuits and Systems - I:Regular Papers, VOL. 55 (2008), 3131 - 3144.
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| 75 |
M. Brickenstein, A. Dreyer, G.-M. Greuel, M. Wedler, O. Wienand:
New developments in the theory of Groebner bases and applications to formal verification. Journal of Pure and Applied Algebra, Vol. 213 (2009), 1612-1635.
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| 74 |
G.-M. Greuel, J. E. Hopcroft, M. H. Wright:
The Mathematical Work of Jon Kleinberg. Notices of the AMS, 54 No 6 (2007), 740 - 743.
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| 73 |
G.-M. Greuel, C.-T. Le:
On deformations of maps and curve singularities. manuscripta math. 127 (2008), 1-21.
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| 72 |
A. Campillo, G.-M. Greuel, C. Lossen:
Equisingular deformations of plane curves in arbitrary characteristic. Compositio Mathematica (2007), 829-882.
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| 71 |
A. Campillo, G.-M. Greuel, C. Lossen:
Equisingular Calculations for Plane Curve Singularities. J. Symb. Comput. 42 (2007), 89-114.
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| 70 |
G.-M. Greuel, G. Pfister:
SINGULAR and Applications. Jahresbericht der DMV 108 (2006), 167-196.
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| 69 |
P. Chrusciel, G.-M. Greuel, R. Meinel, S. Szybka:
The Ernst equation and ergosurfaces. Class. Quantum Grav. 23 No 13 (2006), 4399-4414.
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| 68 |
L. Bodnarchuk, I. Burban. Y. Drozd, G.-M. Greuel:
Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves. In: Catanese et al. eds.: Global Aspects of Complex Geometry, Springer Verlag (2006), 83-128.
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| 67 |
G.-M. Greuel, C. Lossen, E. Shustin:
Equisingular Families of Projective Curves. In: Catanese et al. eds.: Global Aspects of Complex Geometry, Springer Verlag (2006), 171-210.
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| 66 |
G.-M. Greuel, Vik.S. Kulikov:
On Symplectic Coverings of the Projective Plane. Izv. Math., 69 (4) (2005), 667-701.
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| 65 |
T. Bandman, G.-M. Greuel, F. Grunewald, B. Kunyavskii, G. Pfister, E. Plotkin:
Engel-Like Identities Characterizing Finite Solvable Groups. Compositio Math. 142, no.3 (2006), 734-764.
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| 64 |
T. Bandman, G.-M. Greuel, F. Grunewald, B. Kunyavskii, G. Pfister, E. Plotkin:
Two-variable identities for finite solvable groups. C.R. Acad. Sci. Paris, Ser. I 337 (2003), 581-586.
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| 63 |
G.-M. Greuel, G. Pfister:
Computer Algebra and Finite Groups. In: A. Cohen, X.-S. Gao, N. Takayama: Proceedings of the First International Congress of Mathematical Software, Beijing 2002. World Scientific (2002), 4-14.
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| 62 |
G.-M. Greuel:
A Computer Algebra Solution to a Problem in Finite groups. Revista Matematica Iberoamericana 19, no. 2 (2003), 413-424.
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| 61 |
G.-M. Greuel, C. Lossen, M. Schulze:
Three Algorithms in Algebraic Geometry, Coding Theory, and Singularity Theory. In: C. Ciliberto et al: Application of Algebraic Geometry to Coding Theory, Physics and Computation, Proceedings. Kluwer (2001), 161-194.
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| 60 |
I. Burban, Y.A. Drozd, G.-M. Greuel:
Vector Bundles on Singular Projective Curves. In: C. Ciliberto et al: Application of Algebraic Geometry to Coding Theory, Physics and Computation, Proceedings. Kluwer (2001), 1-15.
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| 59 |
G.-M. Greuel, C. Lossen:
The Geometry of Families of Singular Curves. In: D. Siersma, C.T.C. Wall, V. Zakalyukin: New developments in Singularity Theory. NATO Science Series , Kluwer (2001), 159-192.
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| 58 |
G.-M. Greuel, G. Pfister, H. Schönemann:
SINGULAR
- A Computer Algebra System for Polynomial Computations. In: M. Kerber and M. Kohlhase: Symbolic Computation and Automated Reasoning, The Calculemus-2000 Symposium. (2001), 227-233.
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| 57 |
Y.A. Drozd, G.-M. Greuel:
Tame and Wild Projective Curves and Classification of Vector Bundles. Journ. Alg. (2001).
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| 56 |
Y.A. Drozd, G.-M. Greuel, I. Kashuba:
On Cohen-Macaulay Modules on Surface Singularities. Moscow Math. Journ. 3,2 (2003), 397-418.
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| 55 |
G.-M. Greuel, C. Lossen, E. Shustin:
The Variety of Plane Curves with Ordinary Singularities is not Irreducible. IMRN (2000).
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| 54 |
G.-M. Greuel:
Computer Algebra and Algebraic Geometry - Achievements and Perspectives. Journ. Symb. Comp. 30,3 (2000), 253-290.
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| 53 |
G.-M. Greuel:
Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving. In: European Congeress of Mathematicians, Barcelona, July 10-14, 2000, Vol. II. (2000), 169-188.
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| 52 |
G.-M. Greuel, Ch. Lossen, E. Shustin:
Castelnuovo Function, Zero-dimensional Schemes and Singular Plane Curves. Journ. Alg. Geom. 9 (2000), 663-710.
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| 50 |
G.-M. Greuel:
Some Aspects of Brieskorn's Mathematical Work. In: V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink: Singularities, The Brieskorn Anniversary Volume. Birkhäuser (1998), xv-xxii.
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| 48 |
G.-M. Greuel, G. Pfister:
Gröbner bases and algebraic geometry. In: B. Buchberger and F. Winkler: Gröbner Bases and Applications. LNS 251 , CUP (1998), 109-143.
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| 47 |
W. Decker, G.-M. Greuel, G. Pfister:
Primary decomposition: algorithms and comparisons. In: G.-M. Greuel, B.H. Matzat, G. Hiss: Algorithmic Algebra and Number Theory. Springer Verlag, Heidelberg (1998), 187-220.
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| 46 |
G.-M. Greuel, Ch. Lossen, E. Shustin:
Plane curves of minimal degree with prescribed singularities. Invent. Math. 133 (1998), 539-580.
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| 45 |
G.-M. Greuel, Ch. Lossen, E. Shustin:
Geometry of families of nodal curves on the blown-up projective plane. Trans. AMS 350 (1998), 251-274.
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| 44 |
G.-M. Greuel, G. Pfister:
Geometric quotients of unipotent group actions II. In: V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink: Singularities, The Brieskorn Anniversary Volume. Birkhäuser (1998), 27-36.
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| 43 |
G.-M. Greuel, G. Pfister, H. Schönemann:
SINGULAR, A System for Polynomial Computations, version 1.2, User Manual. In: Reports On Computer Algebra. Centre for Computer Algebra, University of Kaiserslautern (1998).
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| 42 |
Y.A. Drozd, G.-M. Greuel:
On Schappert's characterization of strictly unimodal plane curve singularities. In: V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink: Singularities, The Brieskorn Anniversary Volume. Birkhäuser (1998), 3-26.
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| 41 |
W. Decker, G.-M. Greuel, G. Pfister, T. De Jong:
The normalisation: a new algorithm, implementation and comparisons. In: Proc. EUROCONFERENCE Computational Methods for Representations of Groups and Algebras (1.4.-5.4.1997). Birkhäuser (1998).
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| 40 |
G.-M. Greuel, Ch. Lossen, E. Shustin:
New asymptotics in the geometry of equisingular families of curves. IMRN 13 (1997), 595-611.
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| 39 |
G.-M. Greuel, C. Hertling, G. Pfister:
Moduli Spaces of Semiquasihomogeneous Singularities with fixed Principal Part. Journ. Alg. Geom. 6 (1997), 169-199.
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| 38 |
G.-M. Greuel:
Description of
SINGULAR
: A Computer Algebra System for Singularity Theory, Algebraic Geometry and Commutative Algebra. Euromath Bulletin 2 (1996), 161-172.
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| 37 |
G.-M. Greuel, G. Pfister:
On moduli spaces of semiquasihomogeneous singularities. In: Algebraic geometry and singularities (La Rábida, 1991). Birkhäuser Progress in Mathematics 134 (1996), 171-185.
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| 36 |
G.-M. Greuel, G. Pfister:
Advances and improvements in the theory of standard bases and syzygies. Arch. Math. 66 (1996), 163-176.
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| 35 |
G.-M. Greuel, C. Lossen:
Equianalytic and equisingular families of curves on surfaces. Manuscr. Math 91 (1996), 323-342.
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| 34 |
H. Grassmann, G.-M. Greuel, B. Martin, W. Neumann, G. Pfister, W. Pohl, H. Schönemann, T. Siebert:
On an implementation of standard bases and syzygies in
SINGULAR
. AAECC 7 (1996), 235-149.
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| 33 |
Y. Drozd, G.-M. Greuel:
Semicontinuity for representations of Cohen-Macaulay rings. Math. Ann. 306 (1996), 371-389.
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| 32 |
H. Grassmann, G.-M. Greuel, B. Martin, W. Neumann, G. Pfister, W. Pohl, H. Schönemann, T. Siebert:
Standard bases, syzygies and their implementation in SINGULAR. In: Beiträge zur angewandten Analysis und Informatik. Shaker, Aachen (1994), 69-96.
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| 31 |
G.-M. Greuel, G. Pfister:
Moduli for Singularities. In: J.-P. Brasselet: Singularities. London Math. Soc. Lect. Notes 201, Cambridge Univ. Press, Cambridge (1994), 119-146.
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| 30 |
G.-M. Greuel, G. Pfister:
Moduli spaces for torsion free modules on curve singularities I. Journ. Alg. Geom. 2 (1993), 81-135.
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| 29 |
G.-M. Greuel, G. Pfister:
Geometric quotients of unipotent group actions. Proc. London Math. Soc. 67 (1993), 75-105.
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| 28 |
Y.A. Drozd, G.-M. Greuel:
Cohen-Macaulay module type. Comp. Math. 89 (1993), 315-338.
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| 27 |
G.-M. Greuel, G. Pfister:
On moduli spaces of semiquasihomogeneous singularities..
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| 22 |
G.-M. Greuel, U. Karras:
Families of varieties with prescribed singularities. Compos. Math. 69 (1989), 83-110.
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| 21 |
G.-M. Greuel, G. Trautmann (Eds.):
Singularities, Representation of Algebras, and Vectorbundles. In: Lambrecht Proceedings 1985. Lecture Notes in Math. 1273, Springer (1987).
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| 20 |
R.-O. Buchweitz, G.-M. Greuel, F.-O.Schreyer:
Cohen-Macaulay modules on hypersurface singularities, II. Invent. Math. 88 (1987), 165-182.
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| 19 |
G.-M. Greuel:
Torsion free modules and simple curve singularities. Canad. Math. Soc. Conf. Proceedings 6 (1986), 91-94.
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| 18 |
G.-M. Greuel:
Constant Milnor number implies constant multiplicity for quasihomogeneous singularities. Manuscr. Math. 56 (1986), 159-166.
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| 17 |
Greuel G.-M., B. Martin, G. Pfister:
Numerische Charakterisierung quasihomogener Gorenstein-Kurvensingularitäten. Math. Nachr. 124 (1985), 123-131.
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| 16 |
G.-M. Greuel, E. Looijenga:
The dimension of smoothing components. Duke Math. Journ. 52 (1985), 263-272.
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| 15 |
G.-M. Greuel, H. Knörrer:
Einfache Kurvensingularitäten und torsionsfreie Moduln. Math. Ann. 270 (1985), 417-425.
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| 14 |
G.-M. Greuel:
A remark on the paper of A. Tannenbaum. Compos. Math. 51 (1984), 185-187.
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| 13 |
G.-M. Greuel, J.H.M. Steenbrink:
On the topology of smoothable singularities. In: P. Orlik: Singularities, Arcata 1981. Proc. Sympos. Pure Math. 40,1 (1983), 535-545.
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| 12 |
G.-M. Greuel:
On deformation of curves and a formula of Deligne. In: J.M. Aroca, R.-O. Buchweitz, M. Giusti, M. Merle: Algebraic Geometry, La Rábida 1981. Lecture Notes in Math. 961, Springer 1983, 141-168.
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| 11 |
G.-M. Greuel:
Dualität in der lokalen Kohomologie isolierter Singularitäten. Math. Ann. 250 (1980), 157-173.
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| 10 |
R.-O. Buchweitz, G.-M. Greuel:
Le nombre de Milnor équisingularité et déformations des courbes réduites. In: Sém. sur les Singularités. Publ. Math. Univ. Paris 7 (1980), 13-30.
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| 9 |
R.-O. Buchweitz, G.-M. Greuel:
The Milnor number and deformations of complex curve singularities. Invent. Math. 58 (1980), 241-281.
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| 8 |
G.-M. Greuel:
Kohomologische Methoden in der Theorie isolierter Singularitäten. Habilitationsschrift, Bonn (1979).
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| 7 |
R.-O. Buchweitz, G.-M. Greuel:
Le nombre de Milnor, équisingularité et déformations de singularités des courbes réduites. C.R. Acad. Sci. Paris Sér. A Math. 288 (1979), 35-38.
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| 6 |
G.-M. Greuel, H.A. Hamm:
Invarianten quasihomogener vollständiger Durchschnitte. Invent. Math. 49 (1978), 67-86.
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| 5 |
G.-M. Greuel:
Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität. Manuscr. Math. 21 (1977), 227-241, Ergänzung und Berichtigung: ibid. 25, 205-208 (1978).
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| 4 |
G.-M. Greuel:
Cohomologie des singularités non isolées. C.R. Acad. Sci. Paris Sér. A Math. 284 (1977), 321-322.
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| 3 |
G.-M. Greuel, Lê Dung Tráng:
Spitzen, Doppelpunkte und vertikale Tangenten in der Diskriminante verseller Deformationen von vollständigen Durchschnitten. Math. Ann. 222 (1976), 71-88.
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| 2 |
G.-M. Greuel:
Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten. Math. Ann. 214 (1975), 235-266.
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| 1 |
E. Brieskorn, G.-M. Greuel:
Singularities of complete intersections. In: A. Hattori: Manifolds, Tokyo 1973. Univ. of Tokyo Press (1975), 123-129.
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