Mumford's Degree of Contact and Diophantine Approximations
Mumford's Degree of Contact and Diophantine Approximations
复制标题
芒福德接触度和丢番图近似
DOI：
10.1023/a:1001726515286
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发表时间：
1998
影响因子：
1.8
通讯作者：
R. Ferretti
中科院分区：
文献类型：
--
作者：
R. Ferretti
本文的目的是提出丢番图近似和几何不变理论之间的一个有点意想不到的关系。联系由芒福德联系度给出。我们表明，不稳定旗的周不稳定的投影品种提供系统的丢番图逼近这是优于那些由施密特的子空间定理，我们给出了这些系统的例子。
The purpose of this note is to present a somewhat unexpected relation between diophantine approximations and the geometric invariant theory. The link is given by Mumford's degree of contact. We show that destabilizing flags of Chow-unstable projective varieties provide systems of diophantine approximations which are better than those given by Schmidt's subspace theorem, and we give examples of these systems.