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 cutting-edge on consultant difficulties of advanced research and geometry. The ebook opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic capabilities, closed confident currents, and their extra research by way of different mathematicians. furthermore, a listing of 11 open difficulties is given. All different contributions comprise new effects comparable, for instance, to the next goods: - Capacities, made of optimistic currents, L2 extension theorems, Bergman kernels and metrics, new homes of convex domain names of finite style - 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 aid stipulations - Embeddings for three-dimensional CR-manifolds, geometrization of hypoellipticity, desk bound complicated curves and entire integrability - common polynomial mappings of Ck in advanced dynamics, an immediate facts of the density of repulsive cycles within the Julia set. The booklet is aimed toward researchers and complex graduate scholars in advanced and actual research, algebraic geometry and quantity idea.
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