Tate Resolutions on Products of Projective Spaces: Cohomology and Direct Image Complexes

Abstract

We describe the Macaulay2 package TateOnProducts and its capabilities, which include computing cohomology tables and Beilinson monads of sheaves on products of projective spaces and the derived category pushForward of a sheaf under a morphism from a projective scheme to a projective space.

12 pages