Vanishing thetanull and hyperelliptic curves

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2007Embargo end date: 01 Oct 2002 English Publisher:WileyJournal:Mathematische Nachrichten, volume 280, pages 437-445 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Schneider, Olivier;

doi: 10.1002/mana.200310492 , 10.48550/arxiv.math/0210196

arXiv: math/0210196

Vanishing thetanull and hyperelliptic curves

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Abstract

AbstractLet ℳ︁g,2 be the moduli space of curves of genus g with a level‐2 structure. We prove here that there is always a non hyperelliptic element in the intersection of four thetanull divisors in ℳ︁6,2. We prove also that for all g ≥ 3, each component of the hyperelliptic locus in ℳ︁g,2 is a connected component of the intersection of g – 2 thetanull divisors. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Related Organizations

Laboratoire Jean-Alexandre Dieudonné
France
Nice Sophia Antipolis University
France

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)

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