Non-abelian Hodge theory for algebraic curves in characteristic p

Chen, Tsao-Hsien and Zhu, Xinwen (2015) Non-abelian Hodge theory for algebraic curves in characteristic p. Geometric and Functional Analysis, 25 (6). pp. 1706-1733. ISSN 1016-443X. https://resolver.caltech.edu/CaltechAUTHORS:20140919-164516647

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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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1007/s00039-015-0343-6	DOI	Article
http://link.springer.com/article/10.1007%2Fs00039-015-0343-6	Publisher	Article
http://arxiv.org/abs/1306.0299	arXiv	Discussion Paper

Additional Information:

© 2015 Springer. Received: November 14, 2014. Revised: May 27, 2015. Accepted: July 1, 2015. T.-H. Chen would like to thank Roman Bezrukavnikov for many helpful discussions. We thank M. Groechenig for pointing out a mistake in an earlier version of the note. T.-H. Chen is supported by NSF under the agreement No.DMS-1128155. X. Zhu is partially supported by NSF grant DMS-1001280/1313894 and DMS-1303296/1535464 and AMS Centennial Fellowship

Funders:

Funding Agency	Grant Number
NSF	DMS-1128155
NSF	DMS-1001280
NSF	DMS-1313894
NSF	DMS-1303296
American Mathematical Society	UNSPECIFIED

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CaltechAUTHORS:20140919-164516647

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49881

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CaltechAUTHORS

Deposited By:

George Porter

Deposited On:

20 Sep 2014 02:01

Last Modified:

03 Oct 2019 07:18

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