Spectrum and Multiplier Ideals of Arbitrary Subvarieties
نویسندگان
چکیده
We introduce a spectrum for arbitrary varieties. This generalizes the definition by Steenbrink for hypersurfaces. In the isolated complete intersection singularity case, it coincides with the one given by Ebeling and Steenbrink except for the coefficients of integral exponents. We show a relation to the graded pieces of the multiplier ideals by using a relation to the filtration V of Kashiwara and Malgrange. This implies a partial generalization of a theorem of Budur in the hypersurface case. The point is to consider the direct sum of the graded pieces of the multiplier ideals as a module over the algebra defining the normal cone of the subvariety. We also give a combinatorial description in the case of monomial ideals.
منابع مشابه
ON b-FUNCTION, SPECTRUM AND MULTIPLIER IDEALS
We survey some recent developments in the theory of b-function, spectrum, and multiplier ideals together with certain interesting relations among them including the case of arbitrary subvarieties. Dedicated to Professor Masaki Kashiwara
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