Vanishing thetanull and hyperelliptic curves

✍ Scribed by Olivier Schneider

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 152 KB
• Volume: 280
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310492

✦ Synopsis

Abstract

Let ℳ︁~g,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 ℳ︁~6,2~. We prove also that for all g ≥ 3, each component of the hyperelliptic locus in ℳ︁~g,2~ is a connected component of the intersection of g – 2 thetanull divisors. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)