A. V. Pukhlikov, “Explicit examples of birationally rigid Fano varieties”, Mosc. Math. J., 2007, Volume 7, Number 3,Pages <nobr>543

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Explicit examples of birationally rigid Fano varieties

A. V. Pukhlikov^ab

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b University of Liverpool

Abstract: We construct explicit examples of divisorially canonical Fano double spaces. Their direct products are birationally rigid Fano varieties with finitely many structures of a rationally connected fiber space.

Key words and phrases: Birational geometry, birational rigidity, rationally connected fiber space, linear system, log canonical singularity.

MSC: 14E05

Received: June 24, 2006

Language: English

DOI: 10.17323/1609-4514-2007-7-3-543-560