ON THE POSITIVITY OF THE LOGARITHMIC COTANGENT BUNDLE

被引：3
|
作者：
Brotbek, Damian [1 ]
Deng, Ya [2 ,3 ,4 ]
机构：
[1] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France
[2] Univ Strasbourg, Inst Rech Math Avancee, 7 Rue Rene Descartes, F-67000 Strasbourg, France
[3] Chalmers Univ Technol, Math Sci, SE-41296 Gothenburg, Sweden
[4] Univ Gothenburg, SE-41296 Gothenburg, Sweden
来源：
ANNALES DE L INSTITUT FOURIER | 2018年 / 68卷 / 07期
关键词：
Logarithmic cotangent bundles; hyperbolicity; HOLOMORPHIC-CURVES; VARIETIES;
D O I：
10.5802/aif.3235
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this work is to construct examples of pairs whose logarithmic cotangent bundles have strong positivity properties. These examples are constructed from any smooth n-dimensional complex projective varieties by considering the sum of at least n general sufficiently ample hypersurfaces.
引用
收藏
页码：3001 / 3051
页数：51
相关论文
共 50 条
  • [1] SEMISTABILITY OF LOGARITHMIC COTANGENT BUNDLE ON SOME PROJECTIVE MANIFOLDS
    Chintapalli, Seshadri
    Iyer, Jaya N. N.
    COMMUNICATIONS IN ALGEBRA, 2014, 42 (04) : 1732 - 1746
  • [2] Remarks on the positivity of the cotangent bundle of a K3 surface
    Gounelas, Frank
    Ottem, John Christian
    EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2020, 4
  • [3] NOTES ON THE GEOMETRY OF COTANGENT BUNDLE AND UNIT COTANGENT SPHERE BUNDLE
    Kacimi, Bouazza
    Kadi, Fatima Zohra
    Ozkan, Mustafa
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (03): : 845 - 859
  • [4] Positivity of Cotangent Bundles
    Jabbusch, Kelly
    MICHIGAN MATHEMATICAL JOURNAL, 2009, 58 (03) : 723 - 744
  • [5] The logarithmic cotangent complex
    Martin C. Olsson
    Mathematische Annalen, 2005, 333 : 859 - 931
  • [6] Positivity properties of the bundle of logarithmic tensors on compact Kahler manifolds
    Campana, Frederic
    Paun, Mihai
    COMPOSITIO MATHEMATICA, 2016, 152 (11) : 2350 - 2370
  • [7] The logarithmic cotangent complex
    Olsson, MC
    MATHEMATISCHE ANNALEN, 2005, 333 (04) : 859 - 931
  • [8] CHARACTERIZATION OF A COTANGENT BUNDLE
    DUC, TV
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1988, 38 (03) : 465 - 472
  • [9] ON THE COTANGENT BUNDLE AND UNIT COTANGENT BUNDLE WITH A GENERALIZED CHEEGER-GROMOLL METRIC
    Zagane, Abderrahim
    Djaa, Nour Elhouda
    Gezer, Aydin
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (01): : 153 - 178
  • [10] POSITIVITY OF THE LOGARITHMIC COTANGENT AND CONJECTURE OF SHAFAREVICH-VIEHWEG [according to Campana, Faun, Taji, etc.]
    Claudon, Benoit
    ASTERISQUE, 2017, (390) : 27 - 63
12345