Algebraic Geometry II -- Spring 2018 -- Skiles 249, Tue, Th 3PM-4:25PM

Instructor: Greg Blekherman, email: greg@math.gatech.edu

Textbooks: Toric Varieties, by Cox, Little, Schenk

Office Hours: Monday 11AM-12PM, Friday 4PM-5PM.

Course Policies and Grading: There will be bi-weekly homework assignments due every other Tuesday. The first assignment will be given on August 29th.Additionally there will be a class project. It will consist of reading a paper or a book chapter, writing a short summary and making a presentation in class. Your grade will be determined via 50% homework and 50% class project. We will discuss possible projects midway through the semester.

Paper to read:

Kiumars Kaveh, A.G. Khovanskii, Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory.

Homework Assignments:

Homework 1: Exercises 1.0.1, 1.0.3, 1.0.4, 1.0.5, 1.1.1, 1.1.6, 1.1.7, 1.1.9, 1.1.10

Homework 2: Exercises 1.2.1, 1.2.2, 1.2.14, 1.2.15, 1.3.1, 1.3.3, 1.3.4, 2.1.1, 2.1.2, 2.1.4

Homework 3: Exercises 2.2.1, 2.2.3, 2.2.9, 2.3.4, 2.3.5, 2.3.6, 2.4.1, 3.0.1, 3.0.2, 3.0.5, 3.0.6