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摘要翻译：
对于定义在代数函数域上的任意秩2 Drinfeld模rho,我们考虑了它的周期矩阵P,它类似于定义在数域上的椭圆曲线的周期矩阵。假定F_q的特征为奇数，rho为无复数乘法。我们证明了P的项在F_q(theta)上生成的域的超越度为4。因此，我们还证明了F_q(theta)上线性无关的代数函数的Drinfeld对数的代数无关性。
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英文标题：
《Algebraic relations among periods and logarithms of rank 2 Drinfeld
modules》
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作者：
Chieh-Yu Chang, Matthew A. Papanikolas
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Number Theory 数论
分类描述：Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数，丢番图方程，解析数论，代数数论，算术几何，伽罗瓦理论
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
For any rank 2 Drinfeld module rho defined over an algebraic function field, we consider its period matrix P, which is analogous to the period matrix of an elliptic curve defined over a number field. Suppose that the characteristic of F_q is odd and rho is without complex multiplication. We show that the transcendence degree of the field generated by the entries of P over F_q(theta) is 4. As a consequence, we show also the algebraic independence of Drinfeld logarithms of algebraic functions which are linearly independent over F_q(theta).
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PDF链接：
https://arxiv.org/pdf/0807.3157
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