On The Log Sarkisov Program For Foliations On Projective 3-Folds

Abstract

In this article, we prove the Sarkisov Program for co-rank one foliations with suitable singularities on normal projective threefolds. We also exibit a weaker version of birational super-rigidity between two foliated Mori fiber spaces with rank one foliations on normal projective threefolds.

Final Version. Proof of Theorem 1.3 rewritten. Published at Math.Z

References in corpus (4)

• Higher dimensional foliated Mori theory
• Weak Fano threefolds obtained by blowing-up a space curve and construction of Sarkisov links
• Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds
• Linearisation of finite abelian subgroups of the Cremona group of the plane