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arXiv · 0902.0206

The cone of moving curves of a smooth Fano three- or fourfold

Sammy Barkowski
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Abstract

We describe the closed cone of moving curves of smooth Fano three- and fourfolds by giving finitely many equations that cut out the cone. The equations are induced by the exceptional divisors of divisorial contractions and by nef divisors on birational models obtained by sequences of flips.The results presented here are part of the author's Ph.D. thesis, written under the supervision of Stefan Kebekus.

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Sammy Barkowski. 2009-02-02. The cone of moving curves of a smooth Fano three- or fourfold. https://arxiv.org/abs/0902.0206

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