Green–Lazarsfeld's conjecture for generic curves of large gonality |
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| Authors: | Marian Aprodu Claire Voisin |
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| Affiliation: | 1. Université de Grenoble 1, laboratoire de mathématiques, institut Fourier, BP 74, 38402 Saint Martin d''Hères cedex, France;2. Romanian Academy, Institute of Mathematics “Simion Stoilow”, PO Box 1-764, 70700, Bucharest, Romania;3. Université Paris 7 Denis Diderot, CNRS UMR 7586, institut de mathématiques, 2, place Jussieu, 75251 Paris cedex 05, France |
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| Abstract: | We use Green's canonical syzygy conjecture for generic curves to prove that the Green–Lazarsfeld gonality conjecture holds for generic curves of genus g, and gonality d, if g/3<d<[g/2]+2. To cite this article: M. Aprodu, C. Voisin, C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
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