Algebraic Geometry I

(81-325)
4 + 2 SWS
Mi 11.45-13.15 / 48-438
Fr 10.00-11.30 / 48-438
Hauptstudium

Dozent
Prof. Dr. Gert-Martin Greuel
Sprechstunde (48-433): Fr 11.30-13.00 (u. nach Vereinbarung)

Inhalt
Introduction to basic concepts of algebraic geometry: affine and projective varieties, regular and rational morhisms, local aspects, up to Bezout's theorem. Computational aspects using SINGULAR.

Literatur
Gert-Martin Greuel: Introduction to Algebraic Geometry, Vorlesungsskript, 1996/97.
Gert-Martin Greuel, Gerhard Pfister: A SINGULAR Introduction to Commutative Algebra, Springer Verlag, 2002.
Andreas Gathmann: Algebraic Geometry, Vorlesungsskript, WS 2002/03.
Klaus Hulek: Elementare Algebraische Geometrie, Vieweg Verlag, 2000.
Robin Hartshorne: Algebraic Geometry, Springer Verlag, 1977, L mat 166.
Joe Harris: Algebraic Geometry, a first course, Springer Verlag, 1992.

Software
SINGULAR, a Computer Algebra System for polynomial computations

Download of Exercises and SINGULAR Examples

Exercises set 1 (ps, pdf), Examples (sing-01)
Exercises set 2 (ps, pdf), Examples (sing-02)
Exercises set 3 (ps, pdf), Examples (sing-03)
Exercises set 4 (ps, pdf), Examples (sing-04)
Exercises set 5 (ps, pdf), Examples (sing-05)
Exercises set 6 (ps, pdf), Examples (sing-06)
Exercises set 7 (ps, pdf), Examples (sing-07)
Exercises set 8 (ps, pdf), Examples (sing-08)
Exercises set 9 (ps, pdf), Examples (sing-09)
Exercises set 10 (ps, pdf), Examples (sing-10)
Exercises set 11 (ps, pdf)
Exercises set 12 (ps, pdf)
Exercises set 13 (ps, pdf)
Exercises set 14 (ps, pdf)

See also Infoseite von Thomas Keilen
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