ALBANESE MAPS OF PROJECTIVE MANIFOLDS WITH NEF ANTICANONICAL BUNDLES

被引：16

作者：

Cao, Junyan ^{[1
]}

机构：

[1] Sorbonne Univ, Inst Math Jussieu, Campus Pierre & Marie Curie,4,Pl Jussieu, F-75252 Paris, France

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2019年 / 52卷 / 05期

关键词：

COMPACT KAHLER-MANIFOLDS; ALGEBRAIC FIBER SPACES; KODAIRA DIMENSION; POSITIVITY; SHEAVES; THEOREM;

D O I：

10.24033/asens.2405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a projective manifold such that the anticanonical bundle -K-X is nef. We prove that the Albanese map p : X -> Y is locally trivial. In particular, p is a submersion.

引用

下载

页码：1137 / 1154

页数：18

共 50 条

[31] On normal surfaces with strictly nef anticanonical divisors
Kojima, H
ARCHIV DER MATHEMATIK, 2001, 77 (06) : 517 - 521
[32] Relative adjoint transcendental classes and Albanese map of compact Kahler manifolds with nef Ricci curvature
Paun, Mihai
HIGHER DIMENSIONAL ALGEBRAIC GEOMETRY IN HONOUR OF PROFESSOR YUJIRO KAWAMATA'S SIXTIETH BIRTHDAY, 2017, 74 : 335 - 356
[33] On normal surfaces with strictly nef anticanonical divisors
H. Kojima
Archiv der Mathematik, 2001, 77 : 517 - 521
[34] Projective Manifolds Containing a Large Linear Subspace with Nef Normal Bundle
Novelli, Carla
Occhetta, Gianluca
MICHIGAN MATHEMATICAL JOURNAL, 2011, 60 (02) : 441 - 462
[35] A NOTE ON COMPACT KAHLER-MANIFOLDS WITH NEF TANGENT-BUNDLES
ZHANG, Q
MANUSCRIPTA MATHEMATICA, 1994, 85 (01) : 89 - 96
[36] HIGHER ALBANESE MANIFOLDS
HAIN, RM
LECTURE NOTES IN MATHEMATICS, 1987, 1246 : 84 - 91
[37] PROJECTIVE MANIFOLDS WHOSE TANGENT BUNDLE CONTAINS A STRICTLY NEF SUBSHEAF
Liu, Jie
Ou, Wenhao
Yang, Xiaokui
JOURNAL OF ALGEBRAIC GEOMETRY, 2022, : 1 - 53
[38] Smooth projective toric varieties whose nontrivial nef line bundles are big
Fujino, Osamu
Sato, Hiroshi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2009, 85 (07) : 89 - 94
[39] Nef vector bundles on a projective space or a hyperquadric with the first Chern class small
Masahiro Ohno
Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 755 - 781
[40] Nef vector bundles on a projective space or a hyperquadric with the first Chern class small
Ohno, Masahiro
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (02) : 755 - 781

← 1 2 3 4 5 →