Stability and locally exact differentials on a curve

Kirti Joshi

doi:10.1016/j.crma.2004.02.019

Stability and locally exact differentials on a curve

Kirti Joshi

Mathematics

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

5 Scopus citations

Abstract

We show that the locally free sheaf B₁⊂F_*(Ω¹_X) of locally exact differentials on a smooth projective curve of genus g≥2 over an algebraically closed field k of characteristic p is a stable bundle. This answers a question of Raynaud.

Original language	English (US)
Pages (from-to)	869-872
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	338
Issue number	11
DOIs	https://doi.org/10.1016/j.crma.2004.02.019
State	Published - Jun 1 2004

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2004.02.019

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title = "Stability and locally exact differentials on a curve",

abstract = "We show that the locally free sheaf B1⊂F*(Ω1X) of locally exact differentials on a smooth projective curve of genus g≥2 over an algebraically closed field k of characteristic p is a stable bundle. This answers a question of Raynaud.",

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year = "2004",

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AB - We show that the locally free sheaf B1⊂F*(Ω1X) of locally exact differentials on a smooth projective curve of genus g≥2 over an algebraically closed field k of characteristic p is a stable bundle. This answers a question of Raynaud.

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DO - 10.1016/j.crma.2004.02.019

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AN - SCOPUS:2342421659

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IS - 11

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Stability and locally exact differentials on a curve

Abstract

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