Multiplier ideals via Mather discrepancy

Details Multiplier ideals via Mather discrepancy Multiplier ideals via Mather discrepancy

2011-07-12

arxiv.org/abs/1107.2192v1

Mathematics

Algebraic Geometry

17 pages, no figure

Scientific paper

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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