Spin curves and Scorza quartics

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In the previous paper, we construct new subvarieties in the varieties of power sums for certain quartic hypersurfaces. In this paper, we show that these quartics coincide with the Scorza quartics of general pairs of trigonal curves and ineffective theta characteristics. Among other applications, we give an affirmative answer to the conjecture of Dolgachev and Kanev on the existence of the Scorza quartics for any general pairs of curves and ineffective theta characteristics. We also give descriptions of the moduli spaces of trigonal even spin curves. For curves of genus 4, we deepen this description in the next paper.
This is the second part of the division of the paper of arXiv:0801.1760. This is the application part of our method

Keywords

Algebraic Geometry, 14J45 (Primary) 14N05, 14H42 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/228228

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.3590
 http://arxiv.org/abs/0904.3590

Collections

arXiv