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Geometry of Fano manifolds of degree 10

Prof.
Alexander Kuznetsov
Institution: 
Steklov Mathematical Institute, Moscow
Location: 
A-136
Schedule: 
Thursday, July 24, 2014 - 11:30 to 13:00
Abstract: 

I will talk about the work in progress with Olivier Debarre and Olivier Benoist concerning the geometry of Fano manifolds of degree 10. There are two types of such manifolds --- intersections of Gr(2,5) with a quadric (and their linear sections), and double coverings of Gr(2,5) ramified in a quadric (and their linear sections), called ordinary and hyperelliptic respectively. I will discuss relation of these manifolds to EPW sextics and an interesting correspondence on (the closure of) moduli space of such manifolds relating manifolds of different type and dimension.

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