Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces

2021/05/12 by Basu, Suratno, Pal, Sarbeswar
#14Dxx #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.05433

Abstract

Let (X, H) be a polarized smooth projective algebraic surface and E is globally generated, stable vector bundle on X. Then the Syzygy bundle M_E associated to it is defined as the kernel bundle corresponding to the evaluation map. In this article we will study the stability property of M_E with respect to H.

Related

• Stability of syzygy bundles on an algebraic surface
• Stability of syzygy bundles on smooth projective varieties
• Some Remarks on H-stability of syzygy bundle on algebraic surface
• On Stability of Syzygy Bundles
• Syzygy bundles of non-complete linear systems: stability and rigidness