

Times:
Lecture:

Fr 910 am, Weber 201 (last week Weber 223)



Fr 34 pm, Weber 201 (last week Weber 223)


Office hours:

Th 11 am1 pm, Weber 133


Information:

There will be an additional lecture on Monday, May 13, 911am in
Weber 223.

The course starts on Friday May 3 and ends on Friday May 17.

The short course is supposed to give an introduction to
algebraic geometry from a computational point of view. That is, for
all concepts introduced we will explain how Singular can be used to
do computations. If there is anything you are particularly
interested in, please do not hesitate to ask me. I will then try to
include your requests in the course.

In this course I use the following open source software which can be
downloaded and installed for free:
If you have trouble with the installation, please let me know. I
will do my best to help you.
Lecture Notes:
The course is based on lecture notes of a summer school taught in
Mexico in 2010. They are available via the following link:
The book "A Singular introduction to commutative algebra" by
GertMartin Greuel and Gerhard Pfister is a good source for more
information on computational aspects of commutative algebra and
algebraic geometry using the computer algebra system Singular. It
introduces the theory and the algorithms, and everything is proved
there, unlike in my lecture notes.
Moreover, on the web pages of the computer algebra system Singular you will find an
online documentation for Singular which explains all its features with
illustrating examples.
Singular Presentations:
The full code of the Singular presentation for the lecture notes can
be downloaded via the following link:
Alternatively you can download the presentations for the chapters
individually:
