INTEGRAL POINTS ON THREEFOLDS AND OTHER VARIETIES

被引：14

作者：

Corvaja, Pietro ^{[1
]}

Levin, Aaron ^{[2
]}

Zannier, Umberto ^{[3
]}

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[2] Scuola Normale Super Pisa, Coll Puteano, Ctr Giorgi, I-56100 Pisa, Italy

[3] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

TOHOKU MATHEMATICAL JOURNAL | 2009年 / 61卷 / 04期

关键词：

Integral points; holomorphic curves; Schmidt Subspace Theorem; Diophantine approximation;

D O I：

10.2748/tmj/1264084501

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove sufficient conditions for the degeneracy of integral points on certain threefolds and other varieties of higher dimension. In particular, under a normal crossings assumption, we prove the degeneracy of integral points on an affine threefold with seven ample divisors at infinity. Analogous results are given for holomorphic curves. As in our previous works [2], [5], the main tool involved is Schmidt's Subspace Theorem, but here we introduce a technical novelty which leads to stronger results in dimension three or higher.

引用

页码：589 / 601

页数：13

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