Using homological residue fields, we define supports for big objects in tensor-triangulated categories and prove a tensor-product formula.
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.
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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 -
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Paul Balmer. Homological support of big objects in tensor-triangulated categories. Journal de l’École polytechnique — Mathématiques, Volume 7 (2020), pp. 1069-1088. doi : 10.5802/jep.135. https://jep.centre-mersenne.org/articles/10.5802/jep.135/
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