Arithmetic volumes of unitary Shimura curves

Benjamin Howard

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arXiv · 2010.07362

Arithmetic volumes of unitary Shimura curves

Benjamin Howard

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Abstract

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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Benjamin Howard. 2020-10-14. Arithmetic volumes of unitary Shimura curves. https://arxiv.org/abs/2010.07362

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