On Stability of Syzygy Bundles
Snehajit Misra, Nabanita Ray
TL;DR
This paper studies the stability properties of syzygy bundles associated with ample and globally generated vector bundles on smooth projective surfaces, providing insights into their geometric and algebraic stability conditions.
Contribution
It offers new results on the stability criteria of syzygy bundles for ample and globally generated vector bundles on surfaces.
Findings
Established stability conditions for syzygy bundles on surfaces
Connected stability properties to geometric features of vector bundles
Extended previous results to broader classes of vector bundles
Abstract
In this article, we investigate the stability of syzygy bundles corresponding to ample and globally generated vector bundles on smooth irreducible projective surfaces.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Differential Equations and Dynamical Systems · Geometric and Algebraic Topology