Algebraic and Arithmetic Geometry Seminar

Displaying the cohomology of toric line bundles

by Klaus Altmann (Freie Universität Berlin)

Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica


Line bundles L on projective toric varieties can be understood as formal differences of convex polyhedra in the character lattice. We show how it is possible to use this language for understanding the cohomology of L by studying the set-theoretic difference . (This is joint work with Jarek Buczinski, Lars Kastner, David Ploog, and Anna-Lena Winz.)