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.
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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 | ||||||||||||
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Issue or Number: | 6 | ||||||||||||
Record Number: | CaltechAUTHORS:20140919-164516647 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140919-164516647 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 49881 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | George Porter | ||||||||||||
Deposited On: | 20 Sep 2014 02:01 | ||||||||||||
Last Modified: | 03 Oct 2019 07:18 |
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