Contractions and Flips for Varieties of Small Complexity
(joint work with Michel Brion)
Let G be a connected reductive group and let X be a
projective, unirational, normal G-variety of complexity at most
one. Then we show that some of the basic problems of Mori theory have
a positive solution for X: Every face of NE(X)
can be contracted, flips exist, and every sequence of directed (or
inverse) flips terminates.
Appeared in: J. Math. Sci. Univ. Tokyo 1 (1994) 641-655.
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Last updated: October 26, 2000