Finiteness of the Family of Rational and Meromorphic Mappings Into Algebraic Varieties

DOI10.2307/2374210zbMath0502.14002OpenAlexW2329060118MaRDI QIDQ3967641

Junjiro Noguchi, Toshikazu Sunada

Publication date: 1982

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374210

zbMATH Keywords

de Franchis theoremcompact quotient of a symmetric bounded domainfiniteness of family of meromorphic mappingsrank of separable rational maps

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Rational and birational maps (14E05)

Related Items (10)

On the ampleness of the cotangent bundles of complete intersections ⋮ Ampleness of intersections of translates of theta divisors in an abelian fourfold ⋮ Moduli spaces of holomorphic mappings into hyperbolically imbedding complex spaces and locally symmetric spaces ⋮ A higher dimensional analogue of Mordell's conjecture over function fields ⋮ Unnamed Item ⋮ Finiteness theorems for holomorphic mapping from products of hyperbolic Riemann surfaces ⋮ Holomorphic maps of compact Riemann surfaces into 2-dimensional compact C-hyperbolic manifolds ⋮ Endlichkeits- und Picardsätze für quasiprojektive Räume. (Finiteness- and Picard theorems for quasi-projective spaces) ⋮ Propriétés de descente des variétés à fibré cotangent ample ⋮ Generalizations of de Franchis theorem

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