Low degree Hodge theory for klt varieties
Algebraic Geometry
2016-12-07 v1
Abstract
If X is a complex projective variety with klt singularities, then the mixed Hodge structures on the first two singular cohomology groups are pure. We describe the pieces of the Hodge decomposition in terms of reflexive differential forms. Applications include a Lefschetz (1,1) Theorem and a weak analogue of the Hodge-Riemann bilinear relations for klt varieties.
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Cite
@article{arxiv.1612.01919,
title = {Low degree Hodge theory for klt varieties},
author = {Martin Schwald},
journal= {arXiv preprint arXiv:1612.01919},
year = {2016}
}
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11 pages