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Brill–Noether theory and non-special scrolls

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Abstract

In this paper we study the Brill–Noether theory of invertible subsheaves of a general, stable rank-two vector bundle on a curve C with general moduli. We relate this theory to the geometry of unisecant curves on smooth, non-special scrolls with hyperplane sections isomorphic to C. Most of our results are based on degeneration techniques.

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Authors and Affiliations

  1. Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università degli Studi di Padova, via Trieste, 63, Padova, 35121, Italy

    Alberto Calabri

  2. Dipartimento di Matematica, Università degli Studi di Roma Tor Vergata, Via della Ricerca Scientifica, Roma, 00133, Italy

    Ciro Ciliberto & Flaminio Flamini

  3. Department of Mathematics, Colorado State University, 101 Weber Building, Fort Collins, CO, 80523-1874, USA

    Rick Miranda

Authors
  1. Alberto Calabri
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  2. Ciro Ciliberto
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  3. Flaminio Flamini
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  4. Rick Miranda
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Corresponding author

Correspondence to Flaminio Flamini.

Additional information

The first three authors are members of G.N.S.A.G.A. at I.N.d.A.M. “Francesco Severi”.

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Calabri, A., Ciliberto, C., Flamini, F. et al. Brill–Noether theory and non-special scrolls. Geom Dedicata 139, 121–138 (2009). https://doi.org/10.1007/s10711-008-9319-0

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  • DOI: https://doi.org/10.1007/s10711-008-9319-0

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