On some Frobenius restriction theorems for semistable sheaves

V. B. Mehta; V. Trivedi

doi:10.1007/s12044-009-0011-6

On some Frobenius restriction theorems for semistable sheaves

V. B. Mehta
, V. Trivedi

Mathematics

Tata Institute of Fundamental Research

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We prove a version of an effective Frobenius restriction theorem for semistable bundles in characteristic p. The main novelty is in restricting the bundle to the p-fold thickening of a hypersurface section. The base variety is G/P, an abelian variety or a smooth projective toric variety.

Original language	English
Pages (from-to)	109-118
Number of pages	10
Journal	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume	119
Issue number	1
DOIs	https://doi.org/10.1007/s12044-009-0011-6
State	Published - Feb 2009

Keywords

Frobenius restriction theorem
General hypersurface
Generic hypersurface
p-Fold thickening
Semistable bundles

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10.1007/s12044-009-0011-6

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title = "On some Frobenius restriction theorems for semistable sheaves",

abstract = "We prove a version of an effective Frobenius restriction theorem for semistable bundles in characteristic p. The main novelty is in restricting the bundle to the p-fold thickening of a hypersurface section. The base variety is G/P, an abelian variety or a smooth projective toric variety.",

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AU - Trivedi, V.

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AB - We prove a version of an effective Frobenius restriction theorem for semistable bundles in characteristic p. The main novelty is in restricting the bundle to the p-fold thickening of a hypersurface section. The base variety is G/P, an abelian variety or a smooth projective toric variety.

KW - Frobenius restriction theorem

KW - General hypersurface

KW - Generic hypersurface

KW - p-Fold thickening

KW - Semistable bundles

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DO - 10.1007/s12044-009-0011-6

M3 - Article

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JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

JF - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

IS - 1

ER -

On some Frobenius restriction theorems for semistable sheaves

Abstract

Keywords

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