Singular foliations with trivial canonical class

被引：28

作者：

Loray, Frank ^{[1
]}

Pereira, Jorge Vitorio ^{[2
]}

Touzet, Frederic ^{[1
]}

机构：

[1] Univ Rennes, CNRS, UMR 6625, IRMAR, F-35000 Rennes, France

[2] IMPA, Estr Dona Castorina 110, Horto, RJ, Brazil

来源：

INVENTIONES MATHEMATICAE | 2018年 / 213卷 / 03期

关键词：

HOLOMORPHIC FOLIATIONS; KAHLER-MANIFOLDS; VECTOR-BUNDLES; VARIETIES; STABILITY; SPACES;

D O I：

10.1007/s00222-018-0806-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds.

引用

页码：1327 / 1380

页数：54

共 50 条

[1] Singular foliations with trivial canonical class
Frank Loray
Jorge Vitório Pereira
Frédéric Touzet
Inventiones mathematicae, 2018, 213 : 1327 - 1380
[2] CODIMENSION 1 FOLIATIONS WITH NUMERICALLY TRIVIAL CANONICAL CLASS ON SINGULAR SPACES
Druel, Stephane
DUKE MATHEMATICAL JOURNAL, 2021, 170 (01) : 95 - 203
[3] Codimension One Foliations with Numerically Trivial Canonical Class on Singular Spaces II
Druel, Stephane
Ou, Wenhao
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (20) : 15574 - 15611
[4] Singular spaces with trivial canonical class
Greb, Daniel
Kebekus, Stefan
Peternell, Thomas
MINIMAL MODELS AND EXTREME RAYS (KYOTO, 2011), 2016, 70 : 67 - 113
[5] Codimension one holomorphic foliations with trivial canonical class
Touzet, Frederic
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2008, 41 (04): : 655 - 668
[6] Algebraic integrability of foliations with numerically trivial canonical bundle
Andreas Höring
Thomas Peternell
Inventiones mathematicae, 2019, 216 : 395 - 419
[7] Algebraic integrability of foliations with numerically trivial canonical bundle
Horing, Andreas
Peternell, Thomas
INVENTIONES MATHEMATICAE, 2019, 216 (02) : 395 - 419
[8] A decomposition theorem for singular spaces with trivial canonical class of dimension at most five
Stéphane Druel
Inventiones mathematicae, 2018, 211 : 245 - 296
[9] A decomposition theorem for singular spaces with trivial canonical class of dimension at most five
Druel, Stephane
INVENTIONES MATHEMATICAE, 2018, 211 (01) : 245 - 296
[10] Foliations with trivial canonical bundle on Fano 3-folds
Loray, Frank
Pereira, Jorge Vitorio
Touzet, Frederic
MATHEMATISCHE NACHRICHTEN, 2013, 286 (8-9) : 921 - 940

← 1 2 3 4 5 →