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arXiv · 1010.5026

Canonical cohomology as an exterior module

Robert Lazarsfeld·Mihnea Popa·Christian Schnell
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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.

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Robert Lazarsfeld, Mihnea Popa, Christian Schnell. 2011-05-05. Canonical cohomology as an exterior module. https://arxiv.org/abs/1010.5026

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