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arXiv · 2003.11674

Moduli Space of $\Lambda$-modules on Projective Deligne-Mumford Stacks

Hao Sun
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Abstract

In this paper, we define $\Lambda$-quot-functors on Deligne-Mumford stacks. We prove that the $\Lambda$-quot-functor is representable by an algebraic space. Then, we construct the moduli space of $\Lambda$-modules on a projective Deligne-Mumford stack. We prove that this moduli space is a quasi-projective scheme.

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Hao Sun. 2020-03-25. Moduli Space of $\Lambda$-modules on Projective Deligne-Mumford Stacks. https://arxiv.org/abs/2003.11674

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