Stability of natural bundles on curves
Izzet Coskun, Eric Larson, and Isabel Vogt
TL;DR
This paper surveys recent progress on the stability properties of naturally defined vector bundles on algebraic curves, highlighting their importance in deformation theory and related geometric contexts.
Contribution
It provides a comprehensive overview of recent developments in understanding the stability of natural bundles on curves, connecting them to deformation theory.
Findings
Summarizes key results on stability conditions for natural bundles.
Highlights the role of stable bundles in deformation theory.
Identifies open problems and future directions in the field.
Abstract
In this paper, we survey recent developments concerning the stability of naturally defined bundles on curves that play a central role in the deformation theory of the curve.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory