Translator Disclaimer
2018 Tensor triangular geometry of filtered modules
Martin Gallauer
Algebra Number Theory 12(8): 1975-2003 (2018). DOI: 10.2140/ant.2018.12.1975

Abstract

We compute the tensor triangular spectrum of perfect complexes of filtered modules over a commutative ring and deduce a classification of the thick tensor ideals. We give two proofs: one by reducing to perfect complexes of graded modules which have already been studied in the literature by Dell’Ambrogio and Stevenson (2013, 2014) and one more direct for which we develop some useful tools.

Citation

Download Citation

Martin Gallauer. "Tensor triangular geometry of filtered modules." Algebra Number Theory 12 (8) 1975 - 2003, 2018. https://doi.org/10.2140/ant.2018.12.1975

Information

Received: 29 October 2017; Revised: 13 March 2018; Accepted: 12 June 2018; Published: 2018
First available in Project Euclid: 21 December 2018

zbMATH: 06999400
MathSciNet: MR3892970
Digital Object Identifier: 10.2140/ant.2018.12.1975

Subjects:
Primary: 18E30
Secondary: 18D10, 55U35

Rights: Copyright © 2018 Mathematical Sciences Publishers

JOURNAL ARTICLE
29 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.12 • No. 8 • 2018
MSP
Back to Top