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
  • [21] Positivity of Peterson Schubert calculus
    Goldin, Rebecca
    Mihalcea, Leonardo
    Singh, Rahul
    ADVANCES IN MATHEMATICS, 2024, 455
  • [22] Notes on the weak positivity theorems
    Fujino, Osamu
    ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS, 2017, 75 : 73 - 118
  • [23] Locally constant fibrations and positivity of curvature
    Mueller, Niklas
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2025,
  • [24] Divisors and curves on logarithmic mapping spaces
    Kennedy-Hunt, Patrick
    Nabijou, Navid
    Shafi, Qaasim
    Zheng, Wanlong
    SELECTA MATHEMATICA-NEW SERIES, 2024, 30 (04):
  • [25] LOGARITHMIC GROMOV-WITTEN INVARIANTS
    Gross, Mark
    Siebert, Bernd
    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 26 (02) : 451 - 510
  • [26] On the Logarithmic Green-Griffiths Conjecture
    Darondeau, Lionel
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016, 2016 (06) : 1871 - 1923
  • [27] Quasi-positive orbifold cotangent bundles. Pushing further an example by Junjiro Noguchi
    Darondeau, Lionel
    Rousseau, Erwan
    EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2024, 8
  • [28] Manifolds with nef anticanonical bundle
    Cao, Junyan
    Horing, Andreas
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 724 : 203 - 244
  • [29] Positivity of anticanonical divisors in algebraic fibre spaces
    Chang, Chi-Kang
    MATHEMATISCHE ANNALEN, 2023, 385 (1-2) : 787 - 809
  • [30] Positivity criteria for log canonical divisors and hyperbolicity
    Lu, Steven S. Y.
    Zhang, De-Qi
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 726 : 173 - 186
12345