On the difficulty of finding spines

Lacoste, Cyril

doi:10.1016/j.crma.2018.01.007

Group theory/Differential geometry

On the difficulty of finding spines
[De la difficulté à trouver des épines]

Présenté par : the Editorial Board

Lacoste, Cyril ¹

¹ IRMAR, Université de Rennes-1, 35000 Rennes, France

Comptes Rendus. Mathématique, Tome 356 (2018) no. 2, pp. 141-145.

Résumé
Abstract

Nous montrons que l'ensemble des réseaux symplectiques dans l'espace de Siegel $h_{g}$ dont les systoles engendrent un sous-espace de dimension au moins 3 dans $R^{2 g}$ ne contient aucun rétract par déformation $Sp (2 g, Z)$ -équivariant de $h_{g}$ .

We prove that the set of symplectic lattices in the Siegel space $h_{g}$ whose systoles generate a subspace of dimension at least 3 in $R^{2 g}$ does not contain any $Sp (2 g, Z)$ -equivariant deformation retract of $h_{g}$ .

Reçu le : 2017-09-18
Accepté le : 2018-01-16
Publié le : 2018-02-01

DOI : 10.1016/j.crma.2018.01.007

Affiliations des auteurs :

Lacoste, Cyril ¹

¹ IRMAR, Université de Rennes-1, 35000 Rennes, France

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Lacoste, Cyril. On the difficulty of finding spines. Comptes Rendus. Mathématique, Tome 356 (2018) no. 2, pp. 141-145. doi : 10.1016/j.crma.2018.01.007. http://archive.numdam.org/articles/10.1016/j.crma.2018.01.007/

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