Back to Algebraic Geometry Seminar: Fall 2013
Algebraic Geometry Seminar
Date: Tuesday, Nov 12, 2013
Time: 3:30PM - 4:30PM
Location: LCB 225
Yoav Len
Yale University
Title |
An algebraic interpretation of the combinatorial rank of divisors |
Abstract |
In tropical geometry, one often studies nodal curves by considering combinatorial invariants of their dual graph. For instance, a line bundle on the curve gives rise to a divisor on the dual graph, which, in analogy with divisors on curves, has an invariant called the rank. \ A conjecture by Lucia Caporaso suggests that the combinatorial rank of a divisor on a graph can be described in terms of the number of global sections of line bundles on all the nodal curves which are dual to the graph. In my talk, I will discuss a number of known results and the current state of the conjecture.\ This is joint work with Lucia Caporaso and Margarida Melo. |
Algebraic Geometry