Summary
We prove rationality of the moduli space of pairs of curves of genus three together with a point of order three in their Jacobian.
2000 Mathematics Subject Classification codes: 14E08, 14H10, 14H45
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bauer, I. and Catanese, F., Symmetry and variation of Hodge structures, Asian J. Math., vol.8, no.2, 363–390, (2004).
Bogomolov, F. A. and Katsylo, P. I., Rationality of some quotient varieties, Mat. Sb. (N.S.), vol. 126 (168), no. 4, 584–589, (1985).
Catanese, F., On the rationality of certain moduli spaces related to curves of genus 4, Algebraic geometry (Ann Arbor, Mich., 1981), 30–50, Lecture Notes in Math., 1008, Springer, Berlin (1983).
Acknowledgments
The research of the authors was performed in the realm of the DFG Forschergruppe 790 “Classification of algebraic surfaces and compact complex manifolds.”
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Birkhäuser Boston
About this chapter
Cite this chapter
Bauer, I., Catanese, F. (2010). The Rationality of Certain Moduli Spaces of Curves of Genus 3. In: Bogomolov, F., Tschinkel, Y. (eds) Cohomological and Geometric Approaches to Rationality Problems. Progress in Mathematics, vol 282. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4934-0_1
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4934-0_1
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4933-3
Online ISBN: 978-0-8176-4934-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)