On instability of Syzygy Bundles
Snehajit Misra
TL;DR
This paper studies how the stability of syzygy bundles associated with globally generated vector bundles on smooth projective surfaces varies when the polarization changes.
Contribution
It provides new insights into the instability phenomena of syzygy bundles under different polarization choices on algebraic surfaces.
Findings
Instability depends on polarization choice.
Conditions for stability and instability are characterized.
Examples illustrating the instability behavior are provided.
Abstract
In this article, we investigate the instability of syzygy bundles corresponding to globally generated vector bundles on smooth irreducible projective surfaces under change of polarization.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory