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Koszul cohomology and singular curves

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Abstract

We investigate Koszul cohomology on irreducible nodal curves following the lines of [2]. In particular, we prove both Green and Green-Lazarsfeld conjectures for any k-gonal nodal curve which is general in the sense of [4].

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Authors and Affiliations

  1. Department of Mathematics, University of Trento, Via Sommarive 14, 38123, Povo (TN), Italy

    Edoardo Ballico, Claudio Fontanari & Luca Tasin

Authors
  1. Edoardo Ballico
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  2. Claudio Fontanari
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  3. Luca Tasin
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Correspondence to Claudio Fontanari.

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Ballico, E., Fontanari, C. & Tasin, L. Koszul cohomology and singular curves. Rend. Circ. Mat. Palermo 59, 121–125 (2010). https://doi.org/10.1007/s12215-010-0008-0

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  • DOI: https://doi.org/10.1007/s12215-010-0008-0

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