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On algebraic varieties with finite polyhedral Mori cone

Viacheslav V. Nikulin
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Abstract

The fundamental property of Fano varieties with mild singularities is that they have a finite polyhedral Mori cone. Thus, it is very interesting to ask: What we can say about algebraic varieties with a finite polyhedral Mori cone? I give a review of known results. All of them were obtained applying methods which were originated in the theory of discrete groups generated by reflections in hyperbolic spaces with a fundamental chamber of finite volume. This is my report on Fano conference in Torino, October 2002

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Viacheslav V. Nikulin. 2003-06-20. On algebraic varieties with finite polyhedral Mori cone. https://arxiv.org/abs/math/0305040

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