1.

Record Nr.

UNINA9910481046103321

Autore

Lübke Martin <1954->

Titolo

The universal Kobayashi-Hitchin correspondence on Hermitian manifolds / / M. Lübke, A. Teleman

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2006]

©2006

ISBN

1-4704-0467-2

Descrizione fisica

1 online resource (112 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 863

Disciplina

510 s

516.3/62

Soggetti

Kobayashi-Hitchin correspondence (Algebraic geometry)

Hermitian structures

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 183, number 863 (third of 4 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 95-97).

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. The finite dimensional Kobayashi-Hitchin correspondence""; ""2.1. Analytic Stability, Symplectic stability""; ""2.2. The Continuity Method in the finite dimensional case""; ""2.3. Maximal weight functions for linear and projective actions""; ""Chapter 3. A ""universal"" complex geometric classification problem""; ""3.1. Oriented holomorphic pairs""; ""3.2. The stability condition for universal oriented holomorphic pairs""; ""Chapter 4. Hermitian-Einstein pairs""; ""4.1. The Hermitian-Einstein equation""

""7.1. Chern connections""""7.2. Orbits of the adjoint action, sections in the adjoint bundle""; ""7.3. Local maximal torus reductions of a K-bundle""; ""7.4. Connection and maximal torus reductions""; ""7.5. Analytic results""; ""7.6. Weakly holomorphic parabolic reductions""; ""Bibliography""