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Holomorphic vector bundles on compact complex non-algebraic surfaces

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SiaX una superficie complessa compatta non singolare senza funzioni meromorfe non costanti. In questo lavoro si domstra cheX possiede molti fibrati olomorfi di rango 2 contenenti un unico fibrato in rette.

Abstract

LetX be a smooth complex compact surface without non-constant meromorphic functions. Here we prove the existence of rank holomorphic vector bundles onX containing exactly one rank one saturated subsheaf.

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Ballico, E. Holomorphic vector bundles on compact complex non-algebraic surfaces. Ann. Univ. Ferrara 48, 21–23 (2002). https://doi.org/10.1007/BF02824737

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  • DOI: https://doi.org/10.1007/BF02824737

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