Back to Algebraic Geometry Seminar: Fall 2017
Algebraic Geometry Seminar
Date: Tuesday, Oct 24, 2017
Time: 3:30PM - 4:30PM
Location: LCB 215
Takumi Murayama
University of Michigan
Title |
Characterizations of projective space and Seshadri constants in arbitrary characteristic |
Abstract |
Mori and Mukai conjectured that projective space should be the only n-dimensional Fano variety whose anti-canonical bundle has degree at least n + 1 along every curve. While this conjecture has been proved in characteristic zero, it remains open in positive characteristic. We will present some progress in this direction by giving another characterization of projective space using Seshadri constants and the Frobenius morphism. The key ingredient is a positive-characteristic analogue of Demailly’s criterion for separation of higher-order jets by adjoint bundles. |
Algebraic Geometry