The degenerated second main theorem and Schmidt's subspace theorem

被引：26

作者：

Chen ZhiHua ^{[1
]}

Ru Min ^{[2
]}

Yan QiMing ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Univ Houston, Dept Math, Houston, TX 77004 USA

来源：

SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Nevanlinna theory; holomorphic curve; Second Main Theorem; Diophantine approximation; Schmidt's Subspace Theorem; HOLOMORPHIC-CURVES; INEQUALITIES; VARIETIES; FORM;

D O I：

10.1007/s11425-012-4378-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a Second Main Theorem for an algebraically degenerate holomorphic curve f: a", -> a"(TM) (n) (a",) intersecting hypersurfaces in general position. The related Diophantine problems are also considered.

引用

页码：1367 / 1380

页数：14

共 15 条

[1]

Cartan H., 1933, Mathematica, V7, P80

[2] On a general Thue's equation [J].

Corvaja, P ;

Zannier, U .

AMERICAN JOURNAL OF MATHEMATICS, 2004, 126 (05) :1033-1055

[3] On a general Thue's equation (vol 128, pg 1057, 2006) [J].

Corvaja, Pietro ;

Zannier, Umberto .

AMERICAN JOURNAL OF MATHEMATICS, 2006, 128 (04) :1057-1066

[4]

Eremenko A., 1992, ST PETERSB MATH J, V3, P109

[5] A generalization of the Subspace Theorem with polynomials of higher degree [J].

Evertse, Jan-Hendrik ;

Ferretti, Roberto G. .

DIOPHANTINE APPROXIMATION: FESTSCHRIFT FOR WOLFGANG SCHMIDT, 2008, 16 :175-+

[6]

Evertse JH, 2002, INT MATH RES NOTICES, V2002, P1295

[7]

Gyory K, 1998, ACTA ARITH, V86, P227

[8]

Nochka E. I., 1983, Soviet Math. Dokl., V27, P377

[9] On a general form of the Second main Theorem [J].

Ru, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (12) :5093-5105

[10] A defect relation for holomorphic curves intersecting hypersurfaces [J].

Ru, M .

AMERICAN JOURNAL OF MATHEMATICS, 2004, 126 (01) :215-226

← 1 2 →