Canonical cohomology as an exterior module
arXiv:1010.5026
Abstract
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.
10 pages; restricted the hypothesis to smooth projective varieties; to appear in the Eckart Viehweg memorial issue of Pure and Applied Math. Quarterly