Several Complex Variables
Autor Kohn, Lu, Remmert, Siuen Limba Engleză Paperback – 1984
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Specificații
ISBN-13: 9780817631895
ISBN-10: 0817631895
Pagini: 284
Ilustrații: XIV, 268 p.
Dimensiuni: 152 x 229 x 16 mm
Greutate: 0.42 kg
Ediția:Softcover reprint of the original 1st ed. 1984
Editura: birkhäuser
Locul publicării:Boston, MA, United States
ISBN-10: 0817631895
Pagini: 284
Ilustrații: XIV, 268 p.
Dimensiuni: 152 x 229 x 16 mm
Greutate: 0.42 kg
Ediția:Softcover reprint of the original 1st ed. 1984
Editura: birkhäuser
Locul publicării:Boston, MA, United States
Public țintă
ResearchCuprins
§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-completefunction fields.- Chern classes on algebraic varieties with arbitrary singularities.- A general criterion.- Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension three.