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

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

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

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Veröffentlicht in:Bulletin des sciences mathématiques 2023-12, Vol.189, p.103358, Article 103358
Hauptverfasser: Basu, Suratno, Pal, Sarbeswar
Format: Artikel
Sprache:eng
Schlagworte:
Slope stable
Syzygy bundles
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Zusammenfassung:Let (X,H) be a polarized smooth projective algebraic surface and E is globally generated, stable vector bundle on X. Then the Syzygy bundle ME associated to it is defined as the kernel bundle corresponding to the evaluation map. In this article we will study the stability property of ME with respect to H.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2023.103358