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

2019/05/24 by Erman, Daniel, Eisenbud, David, Schreyer, Frank-Olaf · 1 citation
#13D02 #14F05 #14Q99 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.10230

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.

Cited by

• Computing weighted sheaf cohomology using noncommutative differential modules

Related

• Tate Resolutions and Weyman Complexes
• Sheaf Cohomolog and Free Resolutions over Exterior Algebras
• Existence of Gorenstein projective resolutions
• Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves
• Gorenstein categories and Tate cohomology on projective schemes