Codimension one foliations with numerically trivial canonical class on singular spaces

Abstract

In this article, we describe the structure of codimension one foliations with canonical singularities and numerically trivial canonical class on varieties with terminal singularities, extending a result of Loray, Pereira and Touzet to this context.

References in corpus (5)

• Klt varieties with trivial canonical class -- Holonomy, differential forms, and fundamental groups
• Cohomological characterizations of projective spaces and hyperquadrics
• Higher dimensional foliated Mori theory
• MMP for co-rank one foliations on threefolds
• Codimension one foliations with trivial canonical class on singular spaces II

Cited by in corpus (11)

• Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds
• MMP for co-rank one foliations on threefolds
• Effective generation for foliated surfaces: results and applications
• On global ACC for foliated threefolds
• Codimension one foliations with trivial canonical class on singular spaces II
• Uniform rational polytopes of foliated threefolds and the global ACC
• A decomposition theorem for $\mathbb{Q}$-Fano Kähler-Einstein varieties
• Structure of projective varieties with nef anticanonical divisor: the case of log terminal singularities
• Complements, index theorem, and minimal log discrepancies of foliated surface singularities
• Fano 4-folds with rational fibrations
• Positivity of the Moduli Part