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Article Dans Une Revue Annales de l'Institut Fourier Année : 2011

Spectrum and multiplier ideals of arbitrary subvarieties

Alexandru Dimca
Philippe Maisonobe
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Morihiko Saito
  • Fonction : Auteur

Résumé

We introduce a spectrum for arbitrary subvarieties. 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 the filtration V of Kashiwara and Malgrange. This implies a partial generalization of a theorem of Budur in the hypersurface case. The key 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.

Dates et versions

hal-01289063 , version 1 (16-03-2016)

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Citer

Alexandru Dimca, Philippe Maisonobe, Morihiko Saito. Spectrum and multiplier ideals of arbitrary subvarieties. Annales de l'Institut Fourier, 2011, 61 (4), pp.1633-1653. ⟨10.5802/aif.2654⟩. ⟨hal-01289063⟩
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