MODULI PROBLEM OF HITCHIN PAIRS OVER DELIGNE-MUMFORD STACKS

作者：Sun, Hao^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150(1): 131-143.

DOI：10.1090/proc/15663

• Deligne-Mumford stack
• Hitchin pair
• moduli problem

We define the moduli problem of Hitchin pairs over DeligneMumford 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.