Integral closure of invariant ideals, toroidal resolution, and equivariant vector bundles |
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Authors: | Syu Kato |
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Affiliation: | Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku 153-8914 Tokyo, Japan |
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Abstract: | We establish a connection between equivariant integrally closed ideal sheaves on a G-fibration Y over a G-spherical variety X with an affine fiber V and equivariant vector bundles on the universal toroidal resolution of X. As an application, we reduce the study of invariant integrally closed ideals of V×X to that of some smaller variety in the case of X=Mn,m. Moreover, we present an affirmative answer to a problem raised by Michel Brion [Comment. Math. Helv. 66 (1991) 237-262] for two special infinite series. |
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Keywords: | 13A15 16W22 |
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