Moduli problem of Hitchin pairs over Deligne-Mumford stacks
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Abstract:
We define the moduli problem of Hitchin pairs over Deligne- Mumford stacks and prove this moduli problem is represented by a separated and locally finitely-presented algebraic space, which is considered as the moduli space of Hitchin pairs over a Deligne-Mumford stack.References
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Additional Information
- Hao Sun
- Affiliation: Department of Mathematics, South China University of Technology, 381 Wushan Rd, Tianhe Qu, Guangzhou, Guangdong, People’s Republic of China
- ORCID: 0000-0002-9841-5284
- Email: hsun71275@scut.edu.cn
- Received by editor(s): July 29, 2019
- Received by editor(s) in revised form: May 12, 2021
- Published electronically: October 25, 2021
- Additional Notes: The author was partially supported by Guangdong Basic and Applied Basic Research Foundation 2019A1515110961
- Communicated by: Matthew A. Papanikolas
- © Copyright 2021 by the author
- Journal: Proc. Amer. Math. Soc. 150 (2022), 131-143
- MSC (2020): Primary 14A20
- DOI: https://doi.org/10.1090/proc/15663
- MathSciNet review: 4335863