Complex Analysis and Geometry: International Conference in by Henri Skoda (auth.), P. Dolbeault, A. Iordan, G. Henkin, H.

By Henri Skoda (auth.), P. Dolbeault, A. Iordan, G. Henkin, H. Skoda, J.-M. Trépreau (eds.)

This selection of 18 study papers, devoted to Pierre Lelong, describes the state-of-the-art on consultant difficulties of advanced research and geometry. The booklet opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic services, closed optimistic currents, and their extra examine by way of different mathematicians. furthermore, an inventory of 11 open difficulties is given. All different contributions include new effects similar, for instance, to the next goods: - Capacities, manufactured from confident currents, L2 extension theorems, Bergman kernels and metrics, new houses of convex domain names of finite kind - Non-compact barriers of Levi-flat hypersurfaces of C2, compact boundary difficulties as program of compactly supported measures orthogonal to polynomials, Hartogs' theorem on a few open subsets of a projective manifold, Malgrange vanishing theorem with help stipulations - Embeddings for three-dimensional CR-manifolds, geometrization of hypoellipticity, desk bound complicated curves and whole integrability - usual polynomial mappings of Ck in complicated dynamics, a right away facts of the density of repulsive cycles within the Julia set. The e-book is aimed toward researchers and complex graduate scholars in complicated and genuine research, algebraic geometry and quantity conception.

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