Several Complex Variables: Proceedings Of The 1981 Hangzhou Conference - Brossura

Kohn, .

Brossura

ISBN 10: 0817631895 ISBN 13: 9780817631895

Casa editrice: Springer, 2013

Riassunto

The papers presented in the conference encompass all major aspects of several complex variables, in particular, in such areas as complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity.

Su questo libro

Contenuti

§1: Methods of Partial Differential Equations.- Boundary behavior of holomorphic mappings.- Invariant metrics on pseudoconvex domains.- Local bounds for orders of contact and a conjecture about subellipticity.- On an ideal of ring of differential operators.- Microlocalization of CR structures.- A note on the boundary Laplacian operator.- §2: Methods of Differential Geometry.- Géométrie des compactifications des espaces hermitiens localement symétriques.- Holomorphic projective structures and invariant distances.- Complex-analyticity of harmonic maps and vanishing theorems.- The characterization of strictly parabolic spaces.- The characteristic numbers of 4-dimensional Kähler manifolds.- On the Schwarz lemma for complete hermitian manifolds.- Holomorphic maps and conformal transformation on hermitian manifolds.- The degree of strong nondegeneracy of the bisectional curvature of exceptional bounded symmetric domains.- §3: Holomorphic Vector Bundles.- Holomorphic vector bundles on tori.- Submanifolds of projective space with semi-stable normal bundle.- Parameters for instanton and smoothness of M(0,2).- §4: Kernels and Integral Formulae.- The integral representation for polyhedral domains of ?n.- Removable singularities for holomorphic functions which satisfy the area-BMO condition.- Singular integrals in several complex variables.- Integral formulae in complex analysis.- On the representative domain.- A remark on Poisson kernels.- Some applications of Bochner-Martinelli integral representation.- §5: Pseudoconvexity, Function Fields, Algebraic Varieties, Value Distribution Theory.- Some aspects of pseudoconvexity theory in several complex variables.- A higher dimensional analogue of Mordell’s conjecture over function fields and related problems.- Rank-complete function fields.- Chern classes on algebraic varieties with arbitrary singularities.- A general criterion.- Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension three.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 0817631895
• ISBN 13: 9780817631895
• Rilegatura: Copertina flessibile
• Numero di pagine: 284
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania