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Geometric structures on complex manifolds
October 5, 2011 11:40, Moscow
 


Birational aspects in the study of LCK manifolds

Victor Vuletescu

University of Bucharest
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Victor Vuletescu


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Abstract: 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.

Language: English

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