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GALOIS COVERINGS AND JACOBI VARIETIES OF COMPACT RIEMANN SURFACES
Namba, Makoto Korean Mathematical Society 2016 대한수학회지 Vol.53 No.2
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.
Galois coverings and Jacobi varieties of compact Riemann surfaces
Makoto Namba 대한수학회 2016 대한수학회지 Vol.53 No.2
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.