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Local volume computations in the Siegel–Tamagawa formula
V. E. Voskresenskii
Abstract:
The author studies the local factors in Siegel–Tamagawa products and the products themselves. To do this he examines integral structures in linear algebraic groups and gives a construction of an invariant density which induces the canonical Haar measure at $p$-adic places. The local volume computations reduce to the study of the factors at places of bad reduction. An exact expression is obtained for the weight of the genus of a unimodular lattice.
Bibliography: 13 titles.
Received: 30.11.1987
Citation:
V. E. Voskresenskii, “Local volume computations in the Siegel–Tamagawa formula”, Math. USSR-Sb., 66:2 (1990), 447–460
Linking options:
https://www.mathnet.ru/eng/sm2980https://doi.org/10.1070/SM1990v066n02ABEH001181 https://www.mathnet.ru/eng/sm/v180/i4/p443
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Abstract page: | 300 | Russian version PDF: | 105 | English version PDF: | 11 | References: | 47 | First page: | 1 |
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