Titlebook: Complex Geometry and Dynamics; The Abel Symposium 2 John Erik Fornæss,Marius Irgens,Erlend Fornæss Wol Conference proceedings 2015 Springer

Predigest

Staat, Gewerkschaft und ArbeitsprozeßWe discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Kollár.

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认识

Dirk Kiesewetter,Ralf P. SchenkeWe will give an overview on the use of Fatou coordinates in the study of (semi-)parabolic fixed points and their bifurcations.

Arboreal

玉米

Estimates for , and Optimal Constants,We discuss some recently obtained .-estimates and their relations to the classical ones, as well as to the Ohsawa-Takegoshi extension theorem. We also show that the constants obtained earlier in estimates due to Donnelly-Fefferman and Berndtsson are optimal.

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Rationality in Differential Algebraic Geometry,Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.

茁壮成长

A Survey on Levi Flat Hypersurfaces,Works on Levi flat hypersurfaces in complex manifolds will be reviewed with an emphasis on the cases in ., complex tori and Hopf surfaces. Related results on locally pseudoconvex domains whose complements are analytic sets will also be presented.

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