Codimension 1 foliations with numerically trivial canonical class on singular spaces

2020/11/11 by Stéphane Druel · 10 citations
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Polynomial and algebraic computation

paper · doi:10.1215/00127094-2020-0041

openalex publication_date 2020/11/11 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

In this article, we describe the structure of codimension 1 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.

Citations

• Higher-dimensional foliated Mori theory

Cited by

• Minimal model program for algebraically integrable foliations on klt varieties
• Volumes of foliations birationally bounded by algebraically integrable families
• A Kawamata--Miyaoka type inequality for Fano varieties of arbitrary Picard number
• Explicit bounds on foliated surfaces and the Poincaré problem
• Variation of algebraically integrable adjoint foliated structures
• Non-algebraicity of non-abundant foliations and abundance for adjoint foliated structures
• A canonical Fano threefold has Fano index ≤ 66
• Structure of projective varieties with nef anticanonical divisor: the case of log terminal singularities
• MMP for generalized foliated threefolds of rank one
• On supported deformations and birational isotriviality
• Effective positivity of Hodge bundles and applications

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