Website: http://people.math.gatech.edu/~aleykin3/2016-math6422/
Instructor: Anton Leykin
- Contact: leykin@math.gatech.edu
- Skiles 109
- Office hours: Mon 4pm, Tue/Thu 2pm, or by appointment
When and where:
1:05 pm - 1:55 pm, MWF,
Skiles 169
Description:
This course is an introduction to the subject from a computational angle. The main focus will be on concrete construction of affine and projective varieties, constructive proofs of basic theorems, and theory behind the algorithms used to manipulate various algebro-geometric objects. Two computational gadgets will play a prominent role: Groebner bases (a symbolic exact technique) and polynomial homotopy continuation (a numerical approximate technique).
Text:
- Parts of Cox, Little, O'Shea, ``Using algebraic geometry'' (e-text available for free from the library)
- Instructor's notes
Student activities:
- Homework: problem sets (exercises from the textbook) assigned every two weeks.
- In-class exercises: problems solved and discussed in class in small groups.
-
There will be no exams.
Software:
- Free software: Macaulay2 (recommended), CoCoA, Singular, Sage.
- Commercial software: Mathematica, Maple.
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