arXiv subjects

Sammy Barkowski

Publications and source records attributed to Sammy Barkowski.

2 recordsLinked to original sources

arXiv2009

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

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.

math.AG↗

arXiv2007

The cone of moving curves of a smooth Fano-threefold

In this short note we show that the closed cone of moving curves of a smooth Fano-threefold is polyhedral. The proof relies on a famous result of Bucksom, Demailly, Paun and Peternell which says that the strongly movable cone is dual to the cone of pseudoeffective divisors. Finally, we relate the extremal rays of the cone of moving curves on a threefold with extremal rays in the cone of strongly movable curves on a birational model obtained by a Mori contraction.

math.AG↗