Course Description and Grading BreakdownThe first part of the course will deal with the basic theory of toric varieties, with an emphasis on their use as a source of examples. Later on, we will discuss logarithmic geometry and how it can be understood as a generalization of toric geometry. Time permitting, we may discuss Mumford's work using log smooth geometry to prove the semistable reduction theorem in characteristic zero and construct toroidal compactifications of moduli spaces of abelian varieties. It should be possible to follow the course if you have taken Math 130a. For the first part of the course I will be loosely following the online notes of David Cox available here, as well as Fulton's classic book. Course Meeting Time and LocationTuesday and Thursday 2:30 - 3:55 pm 255 Linde Course Instructor Contact Information and Office Hours279 Linde Hall Course Schedule and Textbook
Course PoliciesLate work - Assignments
Midterm and Final ExamCollaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |