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Non complete linear series on curves

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Abstract

The paper is concerned with some properties of linear series on smooth plane curves; in fact, we study mainly the case of cubic curves. The main result describes the growth of the dimension of non complete linear series, generalizing to cubics a well known result of Gieseker, about linear series on the projective lines.

Keywords: Curves, Linear series

Mathematics Subject Classification (2000): 14Q05

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  1. Dipartimento di Scienze Matematiche e Informatiche, Pian Dei Mantellini 44, I-53100 Siena, Italy

    Luca Chiantini

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  1. Luca Chiantini
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Chiantini, L. Non complete linear series on curves. Ricerche mat. 55, 93–104 (2006). https://doi.org/10.1007/s11587-006-0007-9

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  • DOI: https://doi.org/10.1007/s11587-006-0007-9

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