Valid from: Spring 2018
Decided by: Professor Thomas Johansson
Date of establishment: 2018-08-24
Course type: Third-cycle course
Teaching languages: English, Swedish
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 be able to explain the concept of a Gröbner basis and describe 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.
The books are available as e-books via the Mathematics library.
Types of instruction: Lectures, exercises, project. If the number of participants is small, the course is given as a reading course.
Examination formats: Written exam, oral exam, written assignments.
Grading scale: Failed, pass
Assumed prior knowledge: FMAN10 Algebraic structures.
Web page: http://www.ctr.maths.lu.se/course/alggeompoly/