Back to Algebraic Geometry Seminar: Fall 2014
Algebraic Geometry Seminar
Date: Tuesday, Dec 2, 2014
Time: 3:30PM - 4:30PM
Location: LCB 225
Sebastian Casalaina-Martin
University of Colorado at Boulder
Title |
Geometry of compactified Jacobians |
Abstract |
There is a close connection between the geometry of a smooth curve, and the geometry of its Jacobian. In this talk I will discuss joint work with J. Kass and F. Viviani where we investigate the connection between the geometry of a stable curve and its compactified Jacobians, constructed by Caporaso, Oda-Seshadri, Pandharipande, and Simpson. Specifically, we describe the singularities of the spaces, as well as singularities of their theta divisors in the integral case. Applications to the birational geometry of universal compactified Jacobians will also be discussed. |
Algebraic Geometry