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

Suratno Basu; Sarbeswar Pal

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arXiv · 2105.05433

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

Suratno Basu·Sarbeswar Pal

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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 $H$.

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BibTeX RIS

Suratno Basu, Sarbeswar Pal. 2021-05-12. Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces. https://arxiv.org/abs/2105.05433

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