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Multiplier ideals and modules on toric varieties

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Abstract.

A formula computing the multiplier ideal of a monomial ideal on an arbitrary affine toric variety is given. Variants for the multiplier module and test ideals are also treated.

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Authors and Affiliations

  1. Universität Essen, FB6 Mathematik, 45117, Essen, Germany

    Manuel Blickle

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  1. Manuel Blickle
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Correspondence to Manuel Blickle.

Additional information

Mathematics Subject Classification (2000): 14J17, 13A35

The author is grateful to Nobuo Hara for interesting discussions and thanks the referee for a careful reading and thoughtful comments.

in final form: 02 November 2003

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Blickle, M. Multiplier ideals and modules on toric varieties. Math. Z. 248, 113–121 (2004). https://doi.org/10.1007/s00209-004-0655-y

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