Langton's type Theorem on Algebraic Orbifolds
Yonghong Huang
TL;DR
This paper extends Langton's theorem to algebraic orbifolds, establishing conditions for the separatedness and properness of moduli spaces of semistable sheaves in this setting.
Contribution
It generalizes Langton's theorem to algebraic orbifolds, providing new criteria for moduli space properties in this broader context.
Findings
Proves separatedness of moduli functor on algebraic orbifolds.
Establishes properness of the moduli functor for torsion free semistable sheaves.
Extends classical results to orbifold settings.
Abstract
In this paper, we show Langton's type theorem on separatedness and properness of moduli functor of torsion free semistable sheaves on algebraic orbifolds over an algebraically closed field k
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology