1.

Record Nr.

UNINA9910299773703321

Autore

Brunella Marco

Titolo

Birational Geometry of Foliations / / by Marco Brunella

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-14310-7

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (140 p.)

Collana

IMPA Monographs ; ; 1

Disciplina

510

Soggetti

Hyperbolic geometry

Number theory

Geometry

Hyperbolic Geometry

Number Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Introduction: From Surfaces to Foliations -- Local Theory -- Foliations and Line Bundles -- Index Theorems -- Some Special Foliations -- Minimal Models -- Global 1-forms and Vector Fields -- The Rationality Criterion -- Numerical Kodaira Dimension -- Kodaira Dimension -- References.

Sommario/riassunto

The text presents the birational classification of holomorphic foliations of surfaces.  It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces  in the spirit of the classification of complex algebraic surfaces.