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

Suratno Basu; Sarbeswar Pal

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

Algebraic Geometry 2021-05-13 v1

Authors: Suratno Basu , Sarbeswar Pal

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 $H$ .

Keywords

syzygy bundles stable vector bundles algebraic surfaces polarization kernel bundle stability

Cite

@article{arxiv.2105.05433,
  title  = {Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces},
  author = {Suratno Basu and Sarbeswar Pal},
  journal= {arXiv preprint arXiv:2105.05433},
  year   = {2021}
}

Comments

7 pages

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