Moduli Spaces of Coherent Sheaves on Projective Deligne-Mumford Stacks over Algebraic Spaces

Abstract

In this paper, we study the geometric invariant theory on algebraic spaces, and construct te moduli spaces of $\mathcal{H}$-semistable sheaves on projective Deligne-Mumford stacks over algebraic spaces $S$. We prove that this moduli space is projective over $S$ as an algebraic space.

24 pages

References in corpus (2)

• Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks
• Moduli Problem of Hitchin Pairs over Deligne-Mumford Stack