Takumi Murayama : New constructions of nef classes on self-products of curves

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Oct. 10, 2022, 3 p.m.

In

636 SEO

Abstract

The nef cone of a projective variety X is a fundamental object that controls morphisms from X to other projective varieties. Computing this cone for specific varieties is a notoriously difficult problem, even for the product CxC of a curve C with itself. We construct new nef classes on self-products of very general complex projective curves of genus g > 2, which are the first non-trivial examples on the boundary of the nef cone that exist for all g > 2. This is joint work with Mihai Fulger.