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

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On the Cohomology of Pseudoeffective Line Bundles,ed properties of their multiplier ideal sheaves. In case the curvature is strictly positive, the prototype is the well known Nadel vanishing theorem, which is itself a generalized analytic version of the fundamental Kawamata-Viehweg vanishing theorem of algebraic geometry. We are interested here in
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Real-Normalized Differentials and the Elliptic Calogero-Moser System,urveys in differential geometry. Vol. XIV. Geometry of Riemann surfaces and their moduli spaces. Volume 14 of surveys in differential geometry. International Press, Somerville, pp 111–129, 2009; Grushevsky and Krichever, Foliations on the moduli space of curves, vanishing in cohomology, and Calogero
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A Survey on ,, Extension Problem,us settings according to Ohsawa’s series papers, and present our optimal versions of Ohsawa’s .. extension theorems. We’ll discuss the problem in a general setting and present a solution of the problem in the general setting. We’ll give some applications of our results including a solution of the eq
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