arXiv 1007.05512010-07math.AGmath.CV

The exactness of a general Skoda complex

Dano Kim

备注：: References added, exposition streamlined, to appear in Michigan Mathematical Journal

英文摘要：

We show that a Skoda complex with a general plurisubharmonic weight function is exact if its 'degree' is sufficiently large. This answers a question of Lazarsfeld and implies that not every integrally closed ideal is equal to a multiplier ideal even if we allow general plurisubharmonic weights for the multiplier ideal, extending the result of Lazarsfeld and Lee \cite{LL}.

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