L2 CASTELNUOVO–DE FRANCHIS, THE CUP PRODUCT LEMMA, AND FILTERED ENDS OF KÄHLER MANIFOLDS
نویسندگان
چکیده
منابع مشابه
Kähler (& Hyper-kähler) Manifolds
These notes are based on two talks given at the Arithmetic & Algebraic Geometry Seminar of the Korteweg-de Vriesinstituut for mathematics of the Universiteit van Amsterdam. They are intended to give a short introduction to the theory of Kähler manifolds, with a slight focus of applicability to the subject of K3 surfaces. However, they also include other interesting results not related to K3 sur...
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Let f : A → B be a covering map. We say A has e filtered ends with respect to f (or B) if for some filtration {Kn} of B by compact subsets, A − f(Kn) “eventually” has e components. The main theorem states that if Y is a (suitable) free H-space, if K < H has infinite index, and if Y has a positive finite number of filtered ends with respect to H\Y , then Y has one filtered end with respect to K\...
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In this paper, the authors prove that a strictly Kähler-Berwald manifold with nonzero constant holomorphic sectional curvature must be a Kähler manifold.
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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2009
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525309000035