论文标题
计算有规定的当地条件的德林菲尔德模块
Counting Drinfeld modules with prescribed local conditions
论文作者
论文摘要
我们为Drinfeld $ \ Mathbb {f} _Q [t] $ - $ \ Mathbb {f} _Q（t）$的模块提供了渐近学，该模块满足了局部条件的规定集合。这是通过将我们的问题与有关加权投影空间计数点的问题联系起来来完成的。我们在全球功能字段上加权射击空间上有界高度的计数点的结果可能引起了独立的兴趣。
We give asymptotics for the number of Drinfeld $\mathbb{F}_q[T]$-modules over $\mathbb{F}_q(T)$ of a given height, which satisfy prescribed sets of local conditions. This is done by relating our problem to a problem about counting points on weighted projective spaces. Our results for counting points of bounded height on weighted projective spaces over global function fields may be of independent interest.
