Brill-Noether theory on Hirzebruch surfaces |
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Authors: | L Costa RM Miró-Roig |
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Institution: | Facultat de Matemàtiques, Departament d’Algebra i Geometria, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain |
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Abstract: | In this paper, we investigate higher rank Brill-Noether problems for stable vector bundles on Hirzebruch surfaces. Using suitable non-splitting extensions, we deal with the non-emptiness. Results concerning the emptiness follow as a consequence of a generalization of Clifford’s theorem for line bundles on curves to vector bundles on surfaces. |
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Keywords: | 14F05 |
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