A vanishing theorem for log canonical pairs

Details A vanishing theorem for log canonical pairs A vanishing theorem for log canonical pairs

2008-05-26

arxiv.org/abs/0805.3863v3

Mathematics

Algebraic Geometry

15 pages; v2: reference added; v3: minor changes, to appear in Amer. J. Math

Scientific paper

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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