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Fundam. Prikl. Mat., 2004, Volume 10, Issue 4, Pages 183–206 (Mi fpm789)  

Fano direct products as rationally connected fibrations

A. V. Pukhlikov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Combining the connectedness principle of Shokurov and Kollár, we develop a new technique of studying birational maps of natural Fano fiber spaces. We prove that the only structures of a rationally connected fibration on direct products of typical Fano varieties are projections onto the factors. In particular, the groups of biregular and birational self-maps of Fano direct products coincide.

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English version:
Journal of Mathematical Sciences (New York), 2007, 140:2, 303–320

Bibliographic databases:

UDC: 513.6

Citation: A. V. Pukhlikov, “Fano direct products as rationally connected fibrations”, Fundam. Prikl. Mat., 10:4 (2004), 183–206; J. Math. Sci., 140:2 (2007), 303–320

Citation in format AMSBIB
\Bibitem{Puk04}
\by A.~V.~Pukhlikov
\paper Fano direct products as rationally connected fibrations
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 4
\pages 183--206
\mathnet{http://mi.mathnet.ru/fpm789}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2142515}
\zmath{https://zbmath.org/?q=an:1073.14059}
\elib{https://elibrary.ru/item.asp?id=9068331}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 140
\issue 2
\pages 303--320
\crossref{https://doi.org/10.1007/s10958-007-0425-6}
\elib{https://elibrary.ru/item.asp?id=13554038}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845805742}


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