Schmidt's subspace theorem for moving hypersurfaces in subgeneral position

被引：6

作者：

Si Duc Quang ^{[1
,2
]}

机构：

[1] Hanoi Natl Univ Educ, 136 Xuan Thuy, Hanoi, Vietnam

[2] Thang Long Inst Math & Appl Sci, Hanoi, Vietnam

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 01期

关键词：

Second main theorem; Diophantine approximation; Schmidt's subspace theorem; moving hypersurface; TARGETS;

D O I：

10.1142/S1793042118500082

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a Schmidt's subspace theorem for moving hypersurfaces in weakly subgeneral position. Our result generalizes the previous results on Schmidt's theorem for the case of moving hypersurfaces.

引用

页码：103 / 121

页数：19

共 36 条

[31] An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials [J].

Quang, Si Duc .

JOURNAL OF NUMBER THEORY, 2022, 241 :563-580

[32] Cartan’s conjecture for moving hypersurfaces [J].

Qiming Yan ;

Guangsheng Yu .

Mathematische Zeitschrift, 2019, 292 :1051-1067

[33] Cartan's conjecture for moving hypersurfaces [J].

Yan, Qiming ;

Yu, Guangsheng .

MATHEMATISCHE ZEITSCHRIFT, 2019, 292 (3-4) :1051-1067

[34] Degeneracy second main theorem for meromorphic mappings and moving hypersurfaces with truncated counting functions and applications [J].

Si Duc Quang .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (06)

[35] Second main theorem and unicity theorem for meromorphic mappings sharing moving hypersurfaces regardless of multiplicity [J].

Si Duc Quang .

BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (04) :399-412

[36] A Khintchine-type version of Schmidt's theorem for planar curves [J].

Bernik, VI ;

Dickinson, H ;

Dodson, MM .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1968) :179-185

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