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Moduli of flat connections in positive c...

Groechenig, Michael...

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Moduli of flat connections in positive characteristic by Groechenig, Michael ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	12-07-2023
Summary	Exploiting the description of rings of differential operators as Azumaya algebras on cotangent bundles, we show that the moduli stack of flat connections on a curve (allowed to acquire orbifold points) defined over an algebraically closed field of positive characteristic is \'etale locally equivalent to a moduli stack of Higgs bundles over the Hitchin base. We then study the interplay with stability and generalize a result of Laszlo-Pauly, concerning properness of the Hitchin map. Using Arinkin's autoduality of compactified Jacobians we extend the main result of Bezrukavnikov-Braverman, the Langlands correspondence for D-modules in positive characteristic for smooth spectral curves, to the locus of integral spectral curves.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1201.0741

Citation

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AMA 11th EditionReferences

Groechenig, Michael. Moduli of flat connections in positive characteristic. Australian National University. July 12, 2023. Accessed August 06, 2025. https://online.provdatabase.com/cite/5262

APA 7th EditionReferences

Groechenig, Michael. (2023). Moduli of flat connections in positive characteristic. Australian National University. https://online.provdatabase.com/cite/5262

Chicago 17th EditionReferences

Groechenig, Michael. Moduli of flat connections in positive characteristic. Australian National University. 2023. https://online.provdatabase.com/cite/5262

HarvardReferences

Groechenig, Michael. (2023). Moduli of flat connections in positive characteristic. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5262. (Accessed 06 August 2025).

Harvard AustraliaReferences

Groechenig, Michael, 2023, Moduli of flat connections in positive characteristic, Australian National University, viewed 06 August 2025, <https://online.provdatabase.com/cite/5262>

MLA 9th EditionWorks Cited

Groechenig, Michael. Moduli of flat connections in positive characteristic. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5262.

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