Third-Cycle Courses

Faculty of Engineering | Lund University

Details for the Course Syllabus for Course FMA030F valid from Spring 2014

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  • English
  • If sufficient demand
  • 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.
  • Affine varieties and ideals in the ring of polynomials.
    Gröbner bases.
    Elimination theory.
    Algebraic-Geometric Correspondences.
    Polynomial and Rational Functions on a Variety.
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
  • be able to reproduce key results and give rigorous and detailed proofs of them,
    be able to compare key results,
    be able to apply the basic techniques, results and concepts of the course to concrete examples and exercises,
    be able to combine concepts from the course with other important topics in algebra.
Judgement and Approach
  • For a passing grade the doctoral student must
Types 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
  • Failed, pass
Admission Requirements
Assumed Prior Knowledge
  • Basic abstract algebra.
Selection Criteria
  • Cox, David A. & Little, John B.: Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Springer, 2007. ISBN 9780387356518.
Further Information
Course code
  • FMA030F
Administrative Information
  •  -05-13
  • FN1/Anders Gustafsson

All Published Course Occasions for the Course Syllabus

1 course occasion.

Start Date End Date Published
2016‑01‑21 (approximate) 2016‑03‑15

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