A topological nullstellensatz for tensor-triangulated categories

Banerjee, Abhishek (2018) A topological nullstellensatz for tensor-triangulated categories. In: COMPTES RENDUS MATHEMATIQUE, 356 (4). pp. 365-375.

PDF Com_Rea_Mat_356-4_2018.pdf - Published Version Restricted to Registered users only Download (409kB) | Request a copy

Abstract

Let Spec(T) be the spectrum of a tensor- triangulated category (T, circle times , 1). We show that there is a homeomorphism between the spectral space of radical thick tensor ideals in (T, circle times , 1) and the collection of open subsets of Spec(T) in inverse topology. In fact, we prove a more general result in terms of supports on (T, circle times , 1) and work by combining methods from commutative algebra, topology and tensor triangular geometry. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Item Type:	Journal Article
Publication:	COMPTES RENDUS MATHEMATIQUE
Publisher:	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, 65 RUE CAMILLE DESMOULINS, CS50083, 92442 ISSY-LES-MOULINEAUX, FRANCE
Additional Information:	Copy right for this article belong to ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, 65 RUE CAMILLE DESMOULINS, CS50083, 92442 ISSY-LES-MOULINEAUX, FRANCE
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	09 May 2018 15:39
Last Modified:	25 Aug 2022 03:27
URI:	https://eprints.iisc.ac.in/id/eprint/59836

Actions (login required)

View Item