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

[21] Subspace theorem for moving hypersurfaces and semi-decomposable form inequalities [J].

Ji, Qingchun ;

Yan, Qiming ;

Yu, Guangsheng .

JOURNAL OF NUMBER THEORY, 2020, 215 :28-51

[22] Schmidt's subspace theorem for non-subdegenerate families of hyperplanes [J].

Duc Hiep Pham .

INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (03) :557-574

[23] A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position [J].

Guangsheng Yu .

Chinese Annals of Mathematics, Series B, 2022, 43 :567-584

[24] A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position [J].

Yu, Guangsheng .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 43 (04) :567-584

[25] The Gauss Map of Algebraic Complete Minimal Surfaces Omits Hypersurfaces in Subgeneral Position [J].

Thai D.D. ;

Thoan P.D. .

Vietnam Journal of Mathematics, 2018, 46 (3) :579-591

[26] A uniqueness theorem for meromorphic maps with moving hypersurfaces [J].

Dethloff, Gerd ;

Tran Van Tan .

PUBLICATIONES MATHEMATICAE-DEBRECEN, 2011, 78 (02) :347-357

[27] An effective Schmidt's subspace theorem for non-linear forms over function fields [J].

An, Ta Thi Hoai ;

Wang, Julie Tzu-Yueh .

JOURNAL OF NUMBER THEORY, 2007, 125 (01) :210-228

[28] RAMIFICATION OVER HYPERSURFACES LOCATED IN SUBGENERAL POSITION OF THE GAUSS MAP OF COMPLETE MINIMAL SURFACES WITH FINITE TOTAL CURVATURE [J].

Do Duc Thai ;

Pham Duc Thoan .

KYUSHU JOURNAL OF MATHEMATICS, 2018, 72 (02) :253-267

[29] NON-INTEGRATED DEFECT RELATION FOR MEROMORPHIC MAPS FROM KAHLER MANIFOLDS WITH HYPERSURFACES OF A PROJECTIVE VARIETY IN SUBGENERAL POSITION [J].

Si Duc Quang ;

Le Ngoc Quynh ;

Nguyen Thi Nhung .

TOHOKU MATHEMATICAL JOURNAL, 2021, 73 (02) :199-219

[30] SECOND MAIN THEOREM AND UNIQUENESS PROBLEM OF ZERO-ORDER MEROMORPHIC MAPPINGS FOR HYPERPLANES IN SUBGENERAL POSITION [J].

Thi Tuyet Luong ;

Dang Tuyen Nguyen ;

Duc Thoan Pham .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (01) :205-226

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