RISC JKU

Sommersemester 2010

Commutative Algebra and Algebraic Geometry
(Kommutative Algebra und Algebraische Geometrie)
(326.212 lecture & 326.214 exercises)
Prof. Franz Winkler

Time: Tue14:30 - 17:00
Fri10:15 - 11:45
Room:HS 11
First Lecture:Tue09.03.2010
Final Exam / Klausur:Tue29.06.201014:30 - 16:30in HS 11

Classical algebraic geometry is the theory of algebraic curves, surfaces, and varieties in higher dimensions. Nowadays, such algebraic varieties are of high importance in computer aided geometric design, computer vision, cryptography, and other application areas.

The algebraic theory which allows us to compute with such varieties is called commutative algebra. It is concerned with polynomial equations, polynomial ideals, and polynomial and rational mappings.

Participants in the course are expected to be acquainted with basics in (computer) algebra. Much of the material for this course will be taken from the book

      J.R. Sendra, F. Winkler, S. Perez-Diaz,
Rational Algebraic Curves - A Computer Algebra Approach,
Springer-Verlag (2008)

Lecture notes: 00-title.pdf
01-intro.pdf
02-elim.pdf
03-affin.pdf
04-corr.pdf
05-projective.pdf
06-functions.pdf
07-local.pdf
08-paraa.pdf
dk-lecture.pdf
references.pdf
Exercises: exercises1.pdf Grades: grades.pdf
exercises2.pdf
exercises3.pdf
exercises4.pdf
exercises5.pdf
exercises6.pdf
exercises7.pdf
exercises8.pdf
exercises9.pdf
exercises10.pdf