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The extremal secant conjecture for curves of arbitrary gonality

Part of: Commutative algebra: Homological methods Curves

Published online by Cambridge University Press:  06 February 2017

Michael Kemeny
Michael Kemeny*
Affiliation:
Humboldt-Universität zu Berlin, Institut für Mathematik, Unter den Linden 6, 10099 Berlin, Germany email michael.kemeny@gmail.com
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Abstract

We prove the Green–Lazarsfeld secant conjecture [Green and Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986), 73–90; Conjecture (3.4)] for extremal line bundles on curves of arbitrary gonality, subject to explicit genericity assumptions.

Keywords

syzygiescurvesgonalitysecant conjecture

MSC classification

Primary: 14H51: Special divisors (gonality, Brill-Noether theory) 13D02: Syzygies, resolutions, complexes
Type
Research Article
Information
Compositio Mathematica , Volume 153 , Issue 2 , February 2017 , pp. 347 - 357
Copyright
© The Author 2017 

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