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http://dx.doi.org/10.4134/JKMS.2016.53.2.263

GALOIS COVERINGS AND JACOBI VARIETIES OF COMPACT RIEMANN SURFACES  

Namba, Makoto (Osaka University)
Publication Information
Journal of the Korean Mathematical Society / v.53, no.2, 2016 , pp. 263-286 More about this Journal
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;
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