Published December 2015
| Accepted Version
Journal Article
Open
Non-abelian Hodge theory for algebraic curves in characteristic p
- Creators
- Chen, Tsao-Hsien
- Zhu, Xinwen
Chicago
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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.
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 FellowshipAttached Files
Accepted Version - 1306.0299v3.pdf
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1306.0299v3.pdf
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Additional details
- Eprint ID
- 49881
- Resolver ID
- CaltechAUTHORS:20140919-164516647
- NSF
- DMS-1128155
- NSF
- DMS-1001280
- NSF
- DMS-1313894
- NSF
- DMS-1303296
- American Mathematical Society
- Created
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2014-09-20Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field