Introduction to Algebraic Geometry
- Department of Mathematics
Affine varieties as the solution sets of systems of polynomial equations in more than one variable and their relationship with the ideals in polynomial rings, Dickson's lemma, Hilbert's basis theorem, Groebner's bases and their properties, Buchberger's algorithm for searching a Groebner's basis, elimination theory, Hilbert's Nullstellensatz, correspondence between varieties and radicals.
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
1. David Cox, John Little, Donal O'Shea: Ideals, Varieties, and Algorithms, Springer-Verlag, 1992.
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans: