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Arithmetic volumes of unitary Shimura varieties

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 نشر من قبل Benjamin Howard
 تاريخ النشر 2021
  مجال البحث
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The integral model of a GU(n-1,1) Shimura variety carries a universal abelian scheme over it, and the dual top exterior power of its Lie algebra carries a natural hermitian metric. We express the arithmetic volume of this metrized line bundle, defined as an iterated self-intersection in the Gillet-Soule arithmetic Chow ring, in terms of logarithmic derivatives of Dirichlet L-functions.



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