> Computer Algebra - WS 10/11

AG Algebra und Geometrie

Computer Algebra - WS 2010/11

Content:

Important

Dates

Homework

At most two names are allowed to appear on the homework you hand in. Nevertheless you are encouraged to discuss in larger groups. If you use Singular (or any other CAS) for solving the exercises, then you should hand in a copy of all the sessions. Your solution of exercise 1(a) for example should consist of a Singular session and an answer to the question "How are the monomials of f ordered?". You can either print the Singular/CAS sessions and drop your homework in the drawer "Computer Algebra" of the homework box located in the entrance of Building 48 or you may send it as pdf and/or text files to Andreas Steenpaß.

Nr.

Download

Notes

1

sheet 1

In ex. 2, use the command subst(...); instead of substitute(..);

2

sheet 2

3

sheet 3

4

sheet 4

5

sheet 5

6

sheet 6

7

sheet 7

8

sheet 8

9

sheet 9

10

sheet 10

11

sheet 11

12

13

Credit points

You have to pass an oral exam at the end of the term in order to get credit points.

The exercise classes are not mandatory, BUT it will be hard to pass the exam if you do not attend them.

If you want to achieve an "Uebungsschein", you must attend the exercise classes and hand in your homework regularly. If you are in doubt whether or not you need an Uebungsschein, please ask your academic advisor ("Fachstudienberater" in German). In case you study mathematics, you may find him here.

Literature

  1. Gert-Martin Greuel, Gerhard Pfister: A Singular Introduction to Commutative Algebra, Springer Verlag, with contributions by Olaf Bachmann, Christoph Lossen, and Hans Schönemann, 2002, Second edition appeared in 2007.
  2. Wolfram Decker, Christoph Lossen: Computing in Algebraic Geometry - A Quick Start using Singular, Springer Verlag, 2005, ACM 16.
  3. Wolfram Decker, Frank-Olaf Schreyer: Varieties, Gröbner bases, and algebraic curves, book in preparation.
  4. Wolfram Decker, Gerhard Pfister: A First Course in Computational Algebraic Geometry, book in preparation.
  5. Cox, Little, and O'Shea: Ideals, Varieties, and Algorithms, Springer Verlag, 2007

Lecture notes

I am not planning to provide lecture notes. I will, however, occasionally provide supplementary material such as excerpts from one of the books in preparation.

Slides

An excerpt from the book by Decker and Schreyer

Section 4.5 from the book by Greuel and Pfister

Last change: January 13, 6.30 p.m.

 

Wolfram Decker

Andreas Steenpaß

 


January 18, 2011 [top]