Back to Algebraic Geometry Seminar: Spring 2015
Algebraic Geometry Seminar
Date: Tuesday, Jan 20, 2015
Time: 3:30PM - 4:30PM
Location: LCB 215
Sho Tanimoto
Rice University
Title |
Balanced line bundles |
Abstract |
When we count rational points of bounded height on algebraic varieties, it is important to exclude exceptional sets to capture the generic distribution of rational points on underlying varieties. This idea leads to the notion of balanced line bundles, and the study of balanced line bundles can be achieved through the study of birational geometry, e.g., the Minimal Model Program. In this talk, first I introduce height functions and counting problems, and I discuss the notion of balanced line bundles. Then I will talk about how useful birational geometry is to study this notion. |
Algebraic Geometry