Sheaves on singular varieties
Elizabeth Gasparim, Thomas K\"oppe
TL;DR
This paper establishes the existence of reflexive sheaves with specific numerical invariants on singular surfaces and threefolds, and explores their moduli spaces.
Contribution
It introduces new methods for constructing reflexive sheaves on singular varieties and analyzes their moduli.
Findings
Existence of reflexive sheaves with prescribed invariants
Construction techniques for sheaves on singular varieties
Insights into the structure of their moduli spaces
Abstract
We prove existence of reflexive sheaves on singular surfaces and threefolds with prescribed numerical invariants and study their moduli.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Topological and Geometric Data Analysis