[Support homologique des grands objets dans les catégories triangulées tensorielles]
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.
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Keywords: Tensor-triangular geometry, homological residue field, big support
Mot clés : Géométrie triangulée-tensorielle, corps résiduels homologiques, support
Paul Balmer 1
CC-BY 4.0
@article{JEP_2020__7__1069_0,
author = {Paul Balmer},
title = {Homological support of big objects in~tensor-triangulated categories},
journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
pages = {1069--1088},
publisher = {\'Ecole polytechnique},
volume = {7},
year = {2020},
doi = {10.5802/jep.135},
language = {en},
url = {https://jep.centre-mersenne.org/articles/10.5802/jep.135/}
}
TY - JOUR AU - Paul Balmer TI - Homological support of big objects in tensor-triangulated categories JO - Journal de l’École polytechnique — Mathématiques PY - 2020 SP - 1069 EP - 1088 VL - 7 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.135/ DO - 10.5802/jep.135 LA - en ID - JEP_2020__7__1069_0 ER -
%0 Journal Article %A Paul Balmer %T Homological support of big objects in tensor-triangulated categories %J Journal de l’École polytechnique — Mathématiques %D 2020 %P 1069-1088 %V 7 %I École polytechnique %U https://jep.centre-mersenne.org/articles/10.5802/jep.135/ %R 10.5802/jep.135 %G en %F JEP_2020__7__1069_0
Paul Balmer. 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. https://jep.centre-mersenne.org/articles/10.5802/jep.135/
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