Kernel Sheaf on Integral Nodal Curves
Suratno Basu, Krishanu Dan, Aanjaneya Rath
TL;DR
This paper investigates the stability properties of kernel sheaves derived from rank one torsion-free sheaves on integral nodal curves, providing insights into their geometric and algebraic structure.
Contribution
It introduces a new analysis of kernel sheaves' stability on integral nodal curves, expanding understanding of their behavior in algebraic geometry.
Findings
Characterization of stability conditions for kernel sheaves
Identification of key geometric properties influencing stability
Extension of stability results to broader classes of curves
Abstract
In this article we study the stability of Kernel sheaf obtained from a generating subspace of rank one torsion-free sheaf on an integral nodal curve.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Holomorphic and Operator Theory