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 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.
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