$IT_0$ sheaves on compactified Jacobian
Pabitra Barik, Anindya Mukherjee
TL;DR
This paper constructs stable IT_0 torsion-free sheaves on the compactified Jacobian of an integral nodal curve, providing a functorial and uniform approach applicable to both smooth and nodal curves.
Contribution
It introduces a functorial construction of stable IT_0 torsion-free sheaves on the compactified Jacobian, applicable to various types of curves.
Findings
Construction of stable IT_0 sheaves on compactified Jacobian
Method works uniformly for smooth and nodal curves
Provides a functorial approach
Abstract
In this paper we construct stable trosion free sheaves on compactified Jacobian of an integral nodal curve. Our construction is functorial in nature and it provides an uniform method which works for both smooth and nodal curve.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds