Non-abelian Hodge theory for algebraic curves in characteristic p

Tsao Hsien Chen; Xinwen Zhu

doi:10.1007/s00039-015-0343-6

Non-abelian Hodge theory for algebraic curves in characteristic p

Tsao Hsien Chen
, Xinwen Zhu

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

17 Scopus citations

Abstract

Let G be a reductive group over an algebraically closed field of positive characteristic. Let C be a smooth projective curve over k. We give a description of the moduli space of flat G-bundles in terms of the moduli space of G-Higgs bundles over the Frobenius twist C′ of C. This description can be regarded as the non-abelian Hodge theory for curves in positive characteristic.

Original language	English (US)
Pages (from-to)	1706-1733
Number of pages	28
Journal	Geometric and Functional Analysis
Volume	25
Issue number	6
DOIs	https://doi.org/10.1007/s00039-015-0343-6
State	Published - Dec 1 2015
Externally published	Yes

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© 2015, Springer International Publishing.

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10.1007/s00039-015-0343-6

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abstract = "Let G be a reductive group over an algebraically closed field of positive characteristic. Let C be a smooth projective curve over k. We give a description of the moduli space of flat G-bundles in terms of the moduli space of G-Higgs bundles over the Frobenius twist C′ of C. This description can be regarded as the non-abelian Hodge theory for curves in positive characteristic.",

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AU - Zhu, Xinwen

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N2 - Let G be a reductive group over an algebraically closed field of positive characteristic. Let C be a smooth projective curve over k. We give a description of the moduli space of flat G-bundles in terms of the moduli space of G-Higgs bundles over the Frobenius twist C′ of C. This description can be regarded as the non-abelian Hodge theory for curves in positive characteristic.

AB - Let G be a reductive group over an algebraically closed field of positive characteristic. Let C be a smooth projective curve over k. We give a description of the moduli space of flat G-bundles in terms of the moduli space of G-Higgs bundles over the Frobenius twist C′ of C. This description can be regarded as the non-abelian Hodge theory for curves in positive characteristic.

UR - https://www.scopus.com/pages/publications/84949096716

UR - https://www.scopus.com/pages/publications/84949096716#tab=citedBy

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EP - 1733

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

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ER -

Non-abelian Hodge theory for algebraic curves in characteristic p

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