[Forme non-compacte de l’invariant discret élémentaire]
We determine the non-compact form of Vishik’s elementary discrete invariant for quadrics. As an application, we obtain new restrictions on the possible values of the elementary discrete invariant by studying the action of Steenrod operations on the algebraic cycles defining the non-compact form.
On détermine la forme non-compacte de l’invariant discret élémentaire de Vishik pour quadriques. Comme application, on obtient de nouvelles restrictions sur les valeurs possibles de l’invariant discret élémentaire en étudiant l’action des opérations de Steenrod sur les cycles algébriques définissant la forme non-compacte.
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DOI : 10.24033/bsmf.2782
Keywords: Chow groups, quadratic forms, grassmannians, Steenrod operations
Mots-clés : Groupes de Chow, formes quadratiques, grassmanniennes, opérations de Steenrod
Fino, Raphaël 1
@article{BSMF_2019__147_2_289_0,
author = {Fino, Rapha\"el},
title = {Non-compact form of the {Elementary} {Discrete} {Invariant}},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {289--302},
year = {2019},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {147},
number = {2},
doi = {10.24033/bsmf.2782},
mrnumber = {3982278},
zbl = {1498.14017},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.2782/}
}
TY - JOUR AU - Fino, Raphaël TI - Non-compact form of the Elementary Discrete Invariant JO - Bulletin de la Société Mathématique de France PY - 2019 SP - 289 EP - 302 VL - 147 IS - 2 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2782/ DO - 10.24033/bsmf.2782 LA - en ID - BSMF_2019__147_2_289_0 ER -
%0 Journal Article %A Fino, Raphaël %T Non-compact form of the Elementary Discrete Invariant %J Bulletin de la Société Mathématique de France %D 2019 %P 289-302 %V 147 %N 2 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2782/ %R 10.24033/bsmf.2782 %G en %F BSMF_2019__147_2_289_0
Fino, Raphaël. Non-compact form of the Elementary Discrete Invariant. Bulletin de la Société Mathématique de France, Tome 147 (2019) no. 2, pp. 289-302. doi: 10.24033/bsmf.2782
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