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A Lefschetz type result for Koszul cohomology |
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| Authors: | |
| Institution: | (1) Romanian Academy, Institute of Mathematics  Simion Stoilow , 1-764, 70700 Bucharest, Romania;(2) Université de Grenoble 1, Laboratoire de Mathématiques, Institut Fourier, BP 74, 38402 Saint Martin d Hères Cedex, France;(3) Université Lille 1, Mathématiques – Bât. M2, 59655 Villeneuve dAscq Cedex, France |
| 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.Revised version: 15 May 2003Acknowledgements. 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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