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Green-Lazarsfeld gonality conjecture for a generic curve of odd genus

Green-Lazarsfeld gonality conjecture for a generic curve of odd genus We prove the gonality conjecture of Green and Lazarsfeld for generic curves of odd genus. The even-genus case was previously solved in a joint work with Claire Voisin. The proof uses, among other things, Green's syzygy canonical conjecture for generic curves of odd genus. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Mathematics Research Notices Oxford University Press

Green-Lazarsfeld gonality conjecture for a generic curve of odd genus

International Mathematics Research Notices , Volume 2004 (63) – Jan 1, 2004

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References (16)

Publisher
Oxford University Press
Copyright
© Published by Oxford University Press.
ISSN
1073-7928
eISSN
1687-0247
DOI
10.1155/S107379280414035X
Publisher site
See Article on Publisher Site

Abstract

We prove the gonality conjecture of Green and Lazarsfeld for generic curves of odd genus. The even-genus case was previously solved in a joint work with Claire Voisin. The proof uses, among other things, Green's syzygy canonical conjecture for generic curves of odd genus.

Journal

International Mathematics Research NoticesOxford University Press

Published: Jan 1, 2004

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