tt-geometry of filtered modules
Category Theory
2019-09-11 v3 Commutative Algebra
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, and one more direct for which we develop some useful tools.
Cite
@article{arxiv.1708.00833,
title = {tt-geometry of filtered modules},
author = {Martin Gallauer},
journal= {arXiv preprint arXiv:1708.00833},
year = {2019}
}
Comments
27 pages; v2: references updated; v3: final accepted version