论文标题
椭圆形（P，Q） - 差异模块
Elliptic (p,q)-difference modules
论文作者
论文摘要
我们研究了有限的尺寸矢量空间，这些椭圆函数的磁场上有两个通勤的拟合量子σ和τ引起的，由相对优质阶的同基因引起。我们给出了此类对象的结构定理，该定理揭示了与Atiyah在椭圆曲线上对向量束的分类的连接。作为应用程序，我们证明了Loxton和van der Poorten的椭圆形类似物，最近已由Adamczewski和Bell证明。
We study finite dimensional vector spaces over fields of elliptic functions equipped with two commuting aotomorphisms σand τinduced by isogenies of relatively prime orders. We give a structure theorem for such objects, that reveals a connection to the classification of vector bundles on elliptic curves by Atiyah. As an application we prove an elliptic analogue of a conjecture of Loxton and van der Poorten which has been recently proved by Adamczewski and Bell.
