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A Lefschetz type result for Koszul cohomology

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Abstract.

We study the behaviour of Koszul cohomology under restriction to a divisor, extending previous results of M. Green. Using our result we compare Green’s canonical conjecture to the gonality conjecture of Green-Lazarsfeld.

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Authors and Affiliations

  1. Romanian Academy, Institute of Mathematics “Simion Stoilow”, 1-764, 70700, Bucharest, Romania

    Marian Aprodu

  2. Université de Grenoble 1, Laboratoire de Mathématiques, Institut Fourier, BP 74, 38402, Saint Martin d’Hères Cedex, France

    Marian Aprodu

  3. Université Lille 1, Mathématiques – Bât. M2, 59655, Villeneuve d’Ascq Cedex, France

    Jan Nagel

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  1. Marian Aprodu
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  2. Jan Nagel
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Correspondence to Marian Aprodu.

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Revised version: 15 May 2003

Acknowledgements. M. Aprodu was financed by a EC-Marie Curie Fellowship, contract no. HPMF-CT-2000-00895. We would like to thank the referee for some useful remarks on the first version of this paper.

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Aprodu, M., Nagel, J. A Lefschetz type result for Koszul cohomology. manuscripta math. 114, 423–430 (2004). https://doi.org/10.1007/s00229-004-0467-8

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  • DOI: https://doi.org/10.1007/s00229-004-0467-8

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