Видеотека: Victor Vuletescu, Birational aspects in the study of LCK manifolds

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Геометрические структуры на комплексных многообразиях 5 октября 2011 г. 11:40, г. Москва

Birational aspects in the study of LCK manifolds Victor Vuletescu University of Bucharest
Аннотация: We study the behaviour of locally conformally Kahler (LCK for short) manifolds under birational transformations. We show that the blow-up of an LCK manifold $X$ along a subvariety $Y$ is LCK iff $Y$ is globally conformallly Kahler (GCK). Using the same methods, we also show that a twistor space is LCK iff it is GCK. We will also adress a number of open questions. This is joint work with L. Ornea and M. Verbitsky. Язык доклада: английский