arXiv 1107.21922011-07-12math.AG

Multiplier ideals via Mather discrepancy

Lawrence Ein, Shihoko Ishii, Mircea Mustata

备注：: 17 pages, no figure

英文摘要：

We define a version of multiplier ideals, the Mather multiplier ideals, on a variety with arbitrary singularities, using the Mather discrepancy and the Jacobian ideal. In this context we prove a relative vanishing theorem, thus obtaining restriction theorems and a subadditivity and summation theorems. The Mather multiplier ideals also satisfy a Skoda type result. As an application, we obtain a Briancon-Skoda type formula for the integral closures of ideals on a variety with arbitrary singularities.

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