Positivity of the Moduli Part

Abstract

We prove the Cone Theorem for algebraically integrable foliations. As a consequence, we show that termination of flips implies the b-nefness of the moduli part of a log canonical pair with respect to a contraction, generalising the case of lc trivial fibrations.

36 pages. General improvements, e.g. several results do not require termination of flips anymore

References in corpus (3)

• Higher dimensional foliated Mori theory
• Codimension one foliations with numerically trivial canonical class on singular spaces
• Basic properties of log canonical centers