

Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
March 27, 2012 15:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)






Birationally rigid Fano complete intersections
A. V. Pukhlikov^{} 
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Abstract:
Ten years ago in a paper of the speaker it was proved that a generic Fano complete intersection of index 1 and codimension $k$ in the projective space $\mathbb P^{M+k}$ is birationally superrigid if $M\geq 2k+1$. In my talk, I will show how to improve this result, replacing the latter condition by a much weaker one,
$M\geq k+3$. Now the majority of Fano complete intersections of index one are covered.

