Generalizations of the restriction theorem for multiplier ideals
Abstract
We present an algebrogeometric perspective on some generalizations, due to S. Takagi, of the restriction theorem for multiplier ideals. The first version of the restriction theorem for multiplier ideals was discovered by Esnault and Viehweg. In a series of papers S. Takagi has discovered generalizations of the restriction theorem and some formulas for multiplier ideals that follow from the restriction theorem. He uses the technique of tight closure and reduction to positive characteristic. We are able to provide an algebrogeometric proof of generalizations of his restriction theorem and his subadditivity theorem. We also prove an adjunction formula for relative canonical divisors of factorizing resolutions of singularities.
 Publication:

arXiv eprints
 Pub Date:
 January 2010
 arXiv:
 arXiv:1001.2841
 Bibcode:
 2010arXiv1001.2841E
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Commutative Algebra;
 14B05
 EPrint:
 17 pages. Submitted