Homological support of big objects in tensor-triangulated categories
[Support homologique des grands objets dans les catégories triangulées tensorielles]
Balmer, Paul1
1 Mathematics Department, UCLA, Los Angeles, CA 90095-1555, USA
Journal de l’École polytechnique — Mathématiques, Tome 7 (2020), pp. 1069-1088.

À l’aide des corps résiduels homologiques, nous définissons le support des grands objets dans les catégories triangulées tensorielles et prouvons une formule pour le support du produit tensoriel.

Using homological residue fields, we define supports for big objects in tensor-triangulated categories and prove a tensor-product formula.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/jep.135
Classification : 18D99, 20J05, 55U35
Keywords: Tensor-triangular geometry, homological residue field, big support
Mot clés : Géométrie triangulée-tensorielle, corps résiduels homologiques, support
Balmer, Paul 1

1 Mathematics Department, UCLA, Los Angeles, CA 90095-1555, USA 
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Balmer, Paul. Homological support of big objects in tensor-triangulated categories. Journal de l’École polytechnique — Mathématiques, Tome 7 (2020), pp. 1069-1088. doi : 10.5802/jep.135. http://www.numdam.org/articles/10.5802/jep.135/

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