Mathematics – Algebraic Geometry
Scientific paper
2009-02-02
Mathematics
Algebraic Geometry
16 pages, 2 figures
Scientific paper
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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