Compact Kahler manifolds with no projective specialization

被引：0

作者：

Voisin, Claire ^{[1
]}

机构：

[1] CNRS, Inst Math Jussieu Paris Rive Gauche, Paris, France

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2022年 / 15卷 / 1-2期

基金：

欧洲研究理事会; 欧盟地平线“2020”;

关键词：

HOMOTOPY TYPES;

D O I：

10.1007/s40574-021-00288-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show the existence of a compact Kahler manifold which does not fit in a proper flat family over an irreducible base with one projective (possibly singular) fiber. We also give a topological version of this statement. This strengthens our earlier counterexamples to the Kodaira algebraic approximation problem.

引用

页码：353 / 364

页数：12

共 50 条

[21] COMPACT HOLOMORPHICALLY PSEUDOSYMMETRIC KAHLER MANIFOLDS
Jelonek, Wlodzimierz
COLLOQUIUM MATHEMATICUM, 2009, 117 (02) : 243 - 249
[22] Uniqueness of Kahler-Ricci solitons on compact Kahler manifolds
Tian, G
Zhu, XH
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (11): : 991 - 995
[23] Special Kahler-Ricci potentials on compact Kahler manifolds
Derdzinski, A.
Maschler, G.
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 593 : 73 - 116
[24] Cusp Kahler-Ricci flow on compact Kahler manifolds
Liu, Jiawei
Zhang, Xi
ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (01) : 289 - 306
[25] On the Kahler Ricci Flow on Projective Manifolds of General Type
Guo, Bin
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017, 2017 (07) : 2139 - 2171
[26] HOLOMORPHICALLY PROJECTIVE MAPPINGS OF e-KAHLER MANIFOLDS
Hinterleitner, Irena
ARCHIVUM MATHEMATICUM, 2012, 48 (05): : 333 - 338
[27] Compact Kahler manifolds homotopic to negatively curved Riemannian manifolds
Chen, Bing-Long
Yang, Xiaokui
MATHEMATISCHE ANNALEN, 2018, 370 (3-4) : 1477 - 1489
[28] Compact complex manifolds bimeromorphic to locally conformally Kahler manifolds
Shimobe, Hirokazu
GEOMETRIAE DEDICATA, 2018, 197 (01) : 49 - 60
[29] DEFORMATION OF KAHLER METRICS TO KAHLER-EINSTEIN METRICS ON COMPACT KAHLER-MANIFOLDS
CAO, HD
INVENTIONES MATHEMATICAE, 1985, 81 (02) : 359 - 372
[30] AUTOMORPHISMS OF COMPACT KAHLER MANIFOLDS WITH SLOW DYNAMICS
Cantat, Serge
Paris-Romaskevich, Olga
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (02) : 1351 - 1389

← 1 2 3 4 5 →