Cohomology of Coherent Sheaves and Series of Supernatural Bundles

Abstract

We show that the cohomology table of any coherent sheaf on projective space is a convergent--but possibly infinite--sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.

References in corpus (2)

• Betti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case
• Graded Betti numbers and $h$-vectors of level modules