Canonical cohomology as an exterior module

Details Canonical cohomology as an exterior module Canonical cohomology as an exterior module

2010-10-25

arxiv.org/abs/1010.5026v2

Mathematics

Algebraic Geometry

10 pages; restricted the hypothesis to smooth projective varieties; to appear in the Eckart Viehweg memorial issue of Pure and

Scientific paper

We show that the total cohomology of the canonical bundle of a smooth
projective variety, seen as a module over an exterior algebra, splits into a
natural direct sum of submodules which are generated in degree zero and have a
linear free resolution. This improves a previous result of the first two
authors.

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