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math.NT2021
A note on formal periods
Fritz Hörmann
We give an elementary description of the space of formal periods of a mixed motive. This allows for a simplified reformulation of the period conjectures of Grothendieck and Kontsev…
math.NT2011
The geometric and arithmetic volume of Shimura varieties of orthogonal type
Fritz Hörmann
We apply the theory of Borcherds products to calculate arithmetic volumes (heights) of Shimura varieties of orthogonal type up to contributions from very bad primes. The approach i…
math.NT2010★ 1 cited
On recursive properties of certain p-adic Whittaker functions
Fritz Hörmann
We investigate recursive properties of certain p-adic Whittaker functions (of which representation densities of quadratic forms are special values). The proven relations can be use…