1.

Record Nr.

UNINA9910454386603321

Autore

Ru Min

Titolo

Nevanlinna theory and its relation to Diophantine approximation [[electronic resource] /] / Min Ru

Pubbl/distr/stampa

Singapore ; ; River Edge, N.J., : World Scientific, c2001

ISBN

1-281-95619-8

9786611956196

981-281-051-X

Descrizione fisica

1 online resource (340p.)

Disciplina

515

Soggetti

Diophantine approximation

Nevanlinna theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 305-314) and index.

Nota di contenuto

Nevanlinna Theory for Meromorphic Functions and Roth's Theorem; Holomorphic Curves into Compact Riemann Surfaces and Theorems of Siegel, Roth, and Faltings; Holomorphic Curves in Pn(C) and Schmidt's Sub-Space Theorem; The Moving Target Problems; Equi-Dimensional Nevanlinna Theory and Vojta's Conjecture; Holomorphic Curves in Abelian Varieties and the Theorem of Faltings; Complex Hyperbolic Manifolds and Lang's Conjecture.

Sommario/riassunto

An introduction to both Nevanlinna theory and Diophantine approximation, with emphasis on the analogy between these two subjects. Each chapter covers both subjects, and a table is provided at the end of each chapter to indicate the correspondence of theorems.