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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.
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참고문헌 (4)
참고문헌 신청
R. D. M. Accola / 1975 / Riemann Surfaces, Theta Functions and Abelian Automorphism Groups, Lecture Notes in Mathematics, Vol. 483 / Springer-Verlag
M. Namba / 1981 / Equivalence problem and automorphism groups of certain compact Riemann surfaces / Tsukuba J. Math 5(2):319~338
M. Namba / 1984 / Geometry of Projective Algebraic Curves / Marcel Dekker
L. S. Pontryagin / 1966 / Topological Groups / Gordon and Breach Science Publishers, Inc
M. Namba / 1981 / Equivalence problem and automorphism groups of certain compact Riemann surfaces / Tsukuba J. Math 5(2):319~338
M. Namba / 1984 / Geometry of Projective Algebraic Curves / Marcel Dekker
L. S. Pontryagin / 1966 / Topological Groups / Gordon and Breach Science Publishers, Inc
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