MATH6031A - Topics in Algebra I - 2014/15

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Course Year: 

General Information


  • Chan, Kwok Wai
    • Office: LSB 212
    • Tel: 3943-7976
    • Email:

Time and Venue

  • Lecture: Thu 1:30pm-4:15pm, LSB 222

Course Description

This course is an introduction to Algebraic Geometry via the theory of toric varieties. These varieties serve as a good source of examples to understand many phenomena and results in Algebraic Geometry. Since they correspond to objects which are similar to simplicial complexes in topology, they are very computable and concrete. For this reason, toric varieties have been a remarkably fertile testing ground for general theories (e.g. Minimal Model Program, Mirror Symmetry, etc).

In this course, we will start with the general definitions and constructions in toric geometry. We then proceed to discuss the topology and geometry of toric varieties (e.g. divisors and line bundles, (co)homology, characteristic classes, resolution of singularities, etc). Much emphasis will be put on concrete examples and calculations.


  • Introduction to Toric Varieties by W. Fulton
  • Toric Varieties by D. Cox, J. Little and H. Schenck

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Last updated: August 25, 2014 13:49:05