Translator Disclaimer
2016 $\overline{\mathscr{R}}_{15}$ is of general type
Gregor Bruns
Algebra Number Theory 10(9): 1949-1964 (2016). DOI: 10.2140/ant.2016.10.1949

Abstract

We prove that the moduli space ¯15 of Prym curves of genus 15 is of general type. To this end we exhibit a virtual divisor D¯15 on ¯15 as the degeneracy locus of a globalized multiplication map of sections of line bundles. We then proceed to show that this locus is indeed of codimension one and calculate its class. Using this class, we can conclude that K ¯ 15 is big. This complements a 2010 result of Farkas and Ludwig: now the spaces ¯g are known to be of general type for g 14.

Citation

Download Citation

Gregor Bruns. "$\overline{\mathscr{R}}_{15}$ is of general type." Algebra Number Theory 10 (9) 1949 - 1964, 2016. https://doi.org/10.2140/ant.2016.10.1949

Information

Received: 18 December 2015; Revised: 19 April 2016; Accepted: 30 August 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1351.14018
MathSciNet: MR3576116
Digital Object Identifier: 10.2140/ant.2016.10.1949

Subjects:
Primary: 14H10
Secondary: 14E08, 14H40, 14K10

Rights: Copyright © 2016 Mathematical Sciences Publishers

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.10 • No. 9 • 2016
MSP
Back to Top