Valid from: Spring 2014
Decided by: FN1/Anders Gustafsson
Date of establishment: 2014-05-13
Course type: Third-cycle course
Teaching language: English
The aim of the course is to prepare postgraduate students for research using Gröbner bases for solving and interpreting systems of polynomial equations in several variables mainly within algebraic geometry.
Knowledge and Understanding
For a passing grade the doctoral student must * vara väl bekant med begreppet Gröbnerbas och förstå varför de be well acquainted with the concept of a Gröbner basis and understand why they are useful for solving systems of polynomial equations.
Competences and Skills
For a passing grade the doctoral student must
Affine varieties and ideals in the ring of polynomials. Gröbner bases. Elimination theory. Algebraic-Geometric Correspondences. Polynomial and Rational Functions on a Variety.
Cox, David A. & Little, John B.: Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Springer, 2007. ISBN 9780387356518.
Type of instruction: Lectures. If there are few participans, the course might be given as a self-study literature course
Examination formats: Written exam, oral exam
Grading scale: Failed, pass
Assumed prior knowledge: Basic abstract algebra.
Course coordinator: Victor Ufnarovski <firstname.lastname@example.org>