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arXiv · 0805.3863

A vanishing theorem for log canonical pairs

Tommaso de Fernex·Lawrence Ein
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Abstract

Using inversion of adjunction, we deduce from Nadel's theorem a vanishing property for ideals sheaves on projective varieties, a special case of which recovers a result due to Bertram--Ein--Lazarsfeld. This enables us to generalize to a large class of projective schemes certain bounds on Castelnuovo--Mumford regularity previously obtained by Bertram--Ein--Lazarsfeld in the smooth case and by Chardin--Ulrich for locally complete intersection varieties with rational singularities. Our results are tested on several examples.

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Tommaso de Fernex, Lawrence Ein. 2008-05-26. A vanishing theorem for log canonical pairs. https://arxiv.org/abs/0805.3863

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