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Iskovskikh Seminar
April 25, 2013 18:00, Moscow, Steklov Mathematical Institute, room 540
 


E. Gorinov: Three-dimensional varieties whose hyperplane sections are Enriques surfaces.
I. Krylov: Del Pezzo surfaces with $T$-singularities.
E. Yasinsky: On subgroups of prime order in the plane Cremona group over the field of real numbers.


E. Gorinov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: E. Gorinov: We prove that there are no Fano–Enriques threefolds with genera 14, 15, and 16. The proof completes the problem of determining genera of Fano–Enriques threefolds.
I. Krylov: $T$-singularities are singularities which admit $\mathbb Q}-Gorenstein smoothing. We present some results connected with description and classification of surfaces with singularities of this type. We show a way to construct new surfaces based on existing ones for surfaces with maximum self-intersection index of canonical class.
E. Yasinskiy: The Cremona group is the group of automorphisms of the field of rational functions in $n$ variables over a field $k$. The classification of conjugacy classes of elements of prime order in the plane Cremona group over an algebraically closed field is a classical problem. Its most complete solution was obtained for $n=1, 2$ and $k=\mathbb{C}$. In this talk we present some results on the classification of elements of prime order in the plane Cremona group over a field of real numbers.

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