\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace}
\providecommand{\MR}{\relax\ifhmode\unskip\space\fi MR }
% \MRhref is called by the amsart/book/proc definition of \MR.
\providecommand{\MRhref}[2]{%
  \href{http://www.ams.org/mathscinet-getitem?mr=#1}{#2}
}
\providecommand{\href}[2]{#2}
\begin{thebibliography}{BCHM06}

\bibitem[BCHM06]{bchm}
Caucher Birkar, Paolo Cascini, Christopher~D. Hacon, and James McKernan,
  \emph{Existence of minimal models for varieties of log general type},
  http://www.citebase.org/abstract?id=oai:arXiv.org:math/0610203, 2006.

\bibitem[Che05]{che1}
Ivan Cheltsov, \emph{Birationally rigid {F}ano varieties}, Uspekhi Mat. Nauk
  \textbf{60} (2005), no.~5(365), 71--160. \MR{MR2195677 (2007d:14028)}

\bibitem[Che08]{che2}
\bysame, \emph{Fano varieties with many selfmaps}, Adv. Math. \textbf{217}
  (2008), no.~1, 97--124. \MR{MR2357324}

\bibitem[CM04]{co-me}
Alessio Corti and Massimiliano Mella, \emph{Birational geometry of terminal
  quartic 3-folds. {I}}, Amer. J. Math. \textbf{126} (2004), no.~4, 739--761.
  \MR{MR2075480 (2005d:14019)}

\bibitem[CR00]{co-re}
Alessio Corti and Miles Reid, \emph{Foreword}, Explicit birational geometry of
  3-folds, London Math. Soc. Lecture Note Ser., vol. 281, Cambridge Univ.
  Press, Cambridge, 2000, pp.~1--20.

\bibitem[Isk01]{isk}
V.~A. Iskovskikh, \emph{Birational rigidity of {F}ano hypersurfaces in the
  framework of {M}ori theory}, Uspekhi Mat. Nauk \textbf{56} (2001),
  no.~2(338), 3--86. \MR{MR1859707 (2002g:14017)}

\bibitem[KM92]{ko-mo}
J{\'a}nos Koll{\'a}r and Shigefumi Mori, \emph{Classification of
  three-dimensional flips}, J. Amer. Math. Soc. \textbf{5} (1992), no.~3,
  533--703. \MR{MR1149195 (93i:14015)}

\bibitem[Kol96]{rc-book}
J{\'a}nos Koll{\'a}r, \emph{Rational curves on algebraic varieties}, Ergebnisse
  der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys
  in Mathematics, vol.~32, Springer-Verlag, Berlin, 1996. \MR{MR1440180
  (98c:14001)}

\bibitem[KSC04]{ksc}
J{\'a}nos Koll{\'a}r, Karen~E. Smith, and Alessio Corti, \emph{Rational and
  nearly rational varieties}, Cambridge Studies in Advanced Mathematics,
  vol.~92, Cambridge University Press, Cambridge, 2004. \MR{MR2062787
  (2005i:14063)}

\bibitem[Mel04]{mella}
Massimiliano Mella, \emph{Birational geometry of quartic 3-folds. {II}. {T}he
  importance of being {$\Bbb Q$}-factorial}, Math. Ann. \textbf{330} (2004),
  no.~1, 107--126. \MR{MR2091681 (2005h:14030)}

\bibitem[Ros56]{ros}
Maxwell Rosenlicht, \emph{Some basic theorems on algebraic groups}, Amer. J.
  Math. \textbf{78} (1956), 401--443. \MR{MR0082183 (18,514a)}

\bibitem[Shr08]{shr}
Constantin Shramov, \emph{Birational automorphisms of nodal quartic
  threefolds}, http://www.citebase.org/abstract?id=oai:arXiv.org:0803.4348,
  2008.

\end{thebibliography}
