Galois coverings and Jacobi varieties of compact Riemann surfaces

Makoto Namba

doi:10.4134/JKMS.2016.53.2.263

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J. Korean Math. Soc. 2016; 53(2): 263-286

Printed March 1, 2016

https://doi.org/10.4134/JKMS.2016.53.2.263

Galois coverings and Jacobi varieties of compact Riemann surfaces

Makoto Namba

Osaka University

Abstract

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Abstract

We discuss relations between Galois coverings of compact Riemann surfaces and their Jacobi varieties. We prove a theorem of a kind of Galois correspondence for Abelian subvarieties of Jacobi varieties. We also prove a theorem on the sets of points in Jacobi varieties fixed by Galois group actions.

Keywords: compact Riemann surface, Galois covering, Jacobi variety

MSC numbers: Primary 14H7; Secondary 14H30