MMA320 Introduction to Algebraic Geometry 7,5 hec



Algebraic geometry studies curves, surfaces and their generalisations in higher dimensions, which van be described by systems of polynomial equations. The coefficients of the polynomials are often taken to be complex numbers, but can lie in an arbitrary field. The course starts with the basic theory of affine and projective varieties. A first application is the group law on cubic curves. More advanced theory is developed to be able to treat the existence of lines on cubic surfaces. The course ends with the resolution of curve singularities.
Syllabus
 
The course is given
  • in the first half of spring
  • every other year
  • the schedule is decided the first time
 

Course information 2012

 

Course information 2010

 
 
 
 

Published: Mon 26 Sep 2016. Modified: Wed 16 Oct 2019