Non-archimedean analytic curves in the complements of hypersurface divisors

被引：7

作者：

An, Ta Thi Hoai ^{[2
]}

Wang, Julie Tzu-Yueh ^{[1
]}

Wong, Pit-Mann ^{[3
]}

机构：

[1] Acad Sinica, Inst Math, Taipei 11529, Taiwan

[2] Inst Math, Hanoi, Vietnam

[3] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 08期

关键词：

D O I：

10.1016/j.jnt.2007.10.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the degeneration dimension of non-archimedean analytic maps into the complement of hypersurface divisors of smooth projective varieties. We also show that there exist no non-archimedean analytic maps,into P-n \ boolean OR(n)(i=1) D-i where D-i, 1 <= i <= n, are hypersurfaces of degree at least 2 in general position and intersecting transversally. Moreover, we prove that there exist no non-archimedean analytic maps into P-2 \ boolean OR(2)(i=1) D-i when D-1, D-2 are generic plane curves with deg D-1 + deg D-2 >= 4. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：2275 / 2281

页数：7

共 15 条

[1] A defect relation for non-Archimedean analytic curves in arbitrary projective varieties [J].