Abelian Calabi-Yau threefolds: Neron models and rational points

被引：0

作者：

Bogomolov, Fedor ^{[1
,2
]}

Halle, Lars Halvard ^{[3
]}

Pazuki, Fabien ^{[3
]}

Tanimoto, Sho ^{[4
]}

机构：

[1] NYU, Courant Inst, New York, NY 10012 USA

[2] Natl Res Univ, Higher Sch Econ, Moscow, Russia

[3] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen O, Denmark

[4] Kumamoto Univ, Fac Sci, Dept Math, Kurokami 2-39-1, Kumamoto 8608555, Japan

来源：

MATHEMATICAL RESEARCH LETTERS | 2018年 / 25卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

DENSITY; DEGENERATIONS; VARIETIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study arithmetic properties of Calabi-Yau threefolds fibered by abelian surfaces: their Neron models and potential density of rational points.

引用

页码：367 / 392

页数：26

共 50 条

[21] Finiteness of Calabi-Yau Quasismooth Weighted Complete Intersections [J].

Chen, Jheng-Jie .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (12) :3793-3809

[22] Weak Coupling, Degeneration and Log Calabi-Yau Spaces [J].

Donagi, Ron ;

Katz, Sheldon ;

Wijnholt, Martijn .

PURE AND APPLIED MATHEMATICS QUARTERLY, 2013, 9 (04) :665-738

[23] The Sarkisov program for Mori fibred Calabi-Yau pairs [J].

Corti, Alessio ;

Kaloghiros, Anne-Sophie .

ALGEBRAIC GEOMETRY, 2016, 3 (03) :370-384

[24] Gromov-Hausdorff collapsing of Calabi-Yau manifolds [J].

Gross, Mark ;

Tosatti, Valentino ;

Zhang, Yuguang .

COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2016, 24 (01) :93-113

[25] Classification of double octic Calabi-Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes [J].

Cynk, Slawomir ;

Kocel-Cynk, Beata .

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (01)

[26] Non-minimal elliptic threefolds at infinite distance. Part I. Log Calabi-Yau resolutions [J].

Alvarez-Garcia, Rafael ;

Lee, Seung-Joo ;

Weigand, Timo .

JOURNAL OF HIGH ENERGY PHYSICS, 2024, (08)

[27] On the Calabi-Yau Compactifications of Toric Landau-Ginzburg Models for Fano Complete Intersections [J].

Przyjalkowski, V. V. .

MATHEMATICAL NOTES, 2018, 103 (1-2) :104-110

[28] DEGENERATIONS OF RICCI-FLAT CALABI-YAU MANIFOLDS [J].

Rong, Xiaochun ;

Zhang, Yuguang .

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2013, 15 (04)

[29] Boundedness of log Calabi-Yau pairs of Fano type [J].

Hacon, Christopher D. ;

Xi, Chenyang .

MATHEMATICAL RESEARCH LETTERS, 2015, 22 (06) :1699-1716

[30] Correspondences between modular Calabi-Yau fiber products [J].

Kapustka, Michal .

MANUSCRIPTA MATHEMATICA, 2009, 130 (01) :121-135

← 1 2 3 4 5 →