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

[41] Groups of points on abelian threefolds over finite fields [J].

Kotelnikova, Yulia .

FINITE FIELDS AND THEIR APPLICATIONS, 2019, 58 :177-199

[42] Complete intersection Calabi-Yau manifolds with respect to homogeneous vector bundles on Grassmannians [J].

Inoue, Daisuke ;

Ito, Atsushi ;

Miura, Makoto .

MATHEMATISCHE ZEITSCHRIFT, 2019, 292 (1-2) :677-703

[43] Examples of Calabi-Yau 3-Folds of P7 with ρ=1 [J].

Bertin, Marie-Amelie .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2009, 61 (05) :1050-1072

[44] Mori dream spaces of Calabi-Yau type and log canonicity of Cox rings [J].

Kawamata, Yujiro ;

Okawa, Shinnosuke .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2015, 701 :195-203

[45] Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures [J].

Odaka, Yuji .

EUROPEAN JOURNAL OF MATHEMATICS, 2022, 8 (03) :1105-1157

[46] Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces [J].

Batyrev, Victor ;

Schaller, Karin .

JOURNAL OF GEOMETRY AND PHYSICS, 2021, 164

[47] Quantum mirrors of log Calabi-Yau surfaces and higher-genus curve counting [J].

Bousseau, Pierrick .

COMPOSITIO MATHEMATICA, 2020, 156 (02) :360-411

[48] Examples of non-Kahler Calabi-Yau manifolds with arbitrarily large b2 [J].

Sano, Taro .

JOURNAL OF TOPOLOGY, 2021, 14 (04) :1448-1460

[49] Serre-Tate parameters and Jacobian inversion for rigid Calabi-Yau 3-folds [J].

Raskind, Wayne .

REGULATORS, 2012, 571 :233-248

[50] Real loci in (log) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations [J].

Arguz, Hulya .

EUROPEAN JOURNAL OF MATHEMATICS, 2021, 7 (03) :869-930

← 1 2 3 4 5 →