论文标题

单一Shimura曲线的算术量

Arithmetic volumes of unitary Shimura curves

论文作者

Howard, Benjamin

论文摘要

我们计算单位shimura曲线积分模型的算术体积。这确立了一个归纳论点的基本案例,以计算较高维度的单一shimura品种的算术量,以出现在Bruinier和作者的后续作品中。

We compute the arithmetic volumes of integral models of unitary Shimura curves. This establishes the base case of an inductive argument to compute the arithmetic volumes of unitary Shimura varieties of higher dimension, to appear in subsequent work of Bruinier and the author.

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