Notes on the weak positivity theorems

被引：0
作者：
Fujino, Osamu [1 ]
机构：
[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan
来源：
ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS | 2017年 / 75卷
关键词：
semipositivity theorem; weak positivity; mixed Hodge structures; Iitaka's conjecture; HODGE STRUCTURE; INJECTIVITY; VARIETIES; IMAGES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the (twisted) weak positivity theorem. We also treat some applications.
引用
收藏
页码：73 / 118
页数：46
相关论文
共 50 条
[31]   Isomorphisms among quantum Grothendieck rings and propagation of positivity [J].
Fujita, Ryo ;
Hernandez, David ;
Oh, Se-jin ;
Oya, Hironori .
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2022, 2022 (785) :117-185
[32]   A NOTE ON RESTRICTION THEOREMS FOR SEMISTABLE SHEAVES [J].
Langer, Adrian .
MATHEMATICAL RESEARCH LETTERS, 2010, 17 (05) :823-832
[33]   VANISHING THEOREMS FOR REAL ALGEBRAIC CYCLES [J].
Heller, Jeremiah ;
Voineagu, Mircea .
AMERICAN JOURNAL OF MATHEMATICS, 2012, 134 (03) :649-709
[34]   Weak Phase Retrieval [J].
Botelho-Andrade, Sara ;
Casazza, Peter G. ;
Ghoreishi, Dorsa ;
Jose, Shani ;
Tremain, Janet C. .
COMPRESSED SENSING AND ITS APPLICATIONS, 2017, :221-234
[35]   RC-positivity, rational connectedness and Yau's conjecture [J].
Yang, Xiaokui .
CAMBRIDGE JOURNAL OF MATHEMATICS, 2018, 6 (02) :183-212
[36]   Strong positivity for quantum theta bases of quantum cluster algebras [J].
Davison, Ben ;
Mandel, Travis .
INVENTIONES MATHEMATICAE, 2021, 226 (03) :725-843
[37]   Positivity of Ma-Trudinger-Wang curvature on Riemannian surfaces [J].
Du, Shi-Zhong ;
Li, Qi-Rui .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2014, 51 (3-4) :495-523
[38]   Positivity properties of the bundle of logarithmic tensors on compact Kahler manifolds [J].
Campana, Frederic ;
Paun, Mihai .
COMPOSITIO MATHEMATICA, 2016, 152 (11) :2350-2370
[39]   On positivity of the CM line bundle on K-moduli spaces [J].
Xu, Chenyang ;
Zhuang, Zhiquan .
ANNALS OF MATHEMATICS, 2020, 192 (03) :1005-1068
[40]   QUANTUM COHOMOLOGY RINGS OF LAGRANGIAN AND ORTHOGONAL GRASSMANNIANS AND TOTAL POSITIVITY [J].
Cheong, Daewoong .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (10) :5505-5537
12345