Geodesic
Local volume computations in the Siegel–Tamagawa formula
Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 447-460 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Local volume computations in the {Siegel{\textendash}Tamagawa} formula},
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V. E. Voskresenskii. Local volume computations in the Siegel–Tamagawa formula. Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 447-460. http://geodesic.mathdoc.fr/item/SM_1990_66_2_a9/

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