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Iskovskikh Seminar
April 25, 2013 18:00, Moscow, Steklov Mathematical Institute, room 530
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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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