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

10 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

Bibliographical note

Publisher Copyright:
© 2015, Springer International Publishing.

Access

10.1007/s00039-015-0343-6

OpenUrl availability

Full text

Cite this

@article{1c5dae9934e2422386b8fd8914e043e5,

title = "Non-abelian Hodge theory for algebraic curves in characteristic p",

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.",

author = "Chen, {Tsao Hsien} and Xinwen Zhu",

note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing.",

year = "2015",

month = dec,

day = "1",

doi = "10.1007/s00039-015-0343-6",

language = "English (US)",

volume = "25",

pages = "1706--1733",

journal = "Geometric and Functional Analysis",

issn = "1016-443X",

publisher = "Birkhauser Verlag Basel",

number = "6",

}

TY - JOUR

T1 - Non-abelian Hodge theory for algebraic curves in characteristic p

AU - Chen, Tsao Hsien

AU - Zhu, Xinwen

PY - 2015/12/1

Y1 - 2015/12/1

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 - http://www.scopus.com/inward/record.url?scp=84949096716&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84949096716&partnerID=8YFLogxK

U2 - 10.1007/s00039-015-0343-6

DO - 10.1007/s00039-015-0343-6

M3 - Article

AN - SCOPUS:84949096716

SN - 1016-443X

VL - 25

SP - 1706

EP - 1733

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 6

ER -

Non-abelian Hodge theory for algebraic curves in characteristic p

Abstract

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this