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On the existence of analytic mappings between two ultrahyperelliptic surfaces

1965
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Kodai Mathematical Seminar Reports
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§ 1. Introduction. Let R and S be two ultrahyperelliptic surfaces defined by two equations y* = G(z) and u 2 =g(w), respectively, where G and g are two entire functions having no zero other than an infinite number of simple zeros. Then one of the authors [6], [7] established the following perfect condition for the existence of analytic mappings from R into S. THEOREM A. // there exists an analytic mapping φ from R into S, then there exists a pair of two entire functions h(z) and f(z) satisfying

doi:10.2996/kmj/1138845125
fatcat:jrkbejczyvabxoqhugpwzmpvi4