Title | Several Complex Variables [electronic resource] : Proceedings of the 1981 Hangzhou Conference / edited by J. J. Kohn, R. Remmert, Q.-K. Lu, Y.-T. Siu |
---|---|
Imprint | Boston, MA : Birkhรคuser Boston, 1984 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-5296-2 |
Descript | XIV, 268 p. online resource |
ยง1: 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 -- ยง2: Methods of Differential Geometry -- Gรฉomรฉtrie des compactifications des espaces hermitiens localement symรฉtriques -- 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 Kรคhler 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 -- ยง3: 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) -- ยง4: 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 -- ยง5: Pseudoconvexity, Function Fields, Algebraic Varieties, Value Distribution Theory -- Some aspects of pseudoconvexity theory in several complex variables -- A higher dimensional analogue of Mordellโs 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