Journal article

Tensor triangular geometry of filtered modules

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.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Gallauer, M. (2018). Tensor triangular geometry of filtered modules. Algebra and Number Theory, 12(8), 1975–2003.

MLA Style

Gallauer, M. “Tensor Triangular Geometry of Filtered Modules.” Algebra and Number Theory, vol. 12, no. 8, Mathematical Sciences Publishers, 2018, pp. 1975–2003.

Chicago Style

Gallauer, M. 2018. “Tensor Triangular Geometry of Filtered Modules.” Algebra and Number Theory 12 (8): 1975–2003.
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Files:: tt-fmod.pdf

(Preview, Accepted manuscript, pdf, 222.9KB, Terms of use)

Publisher copy:: 10.2140/ant.2018.12.1975

Authors

+ Gallauer, M More by this author

Institution:: University of Oxford
Division:: MPLS Division
Department:: Mathematical Institute
Department:: Unknown
Role:: Author

Publisher:: Mathematical Sciences Publishers
Journal:: Algebra and Number Theory More from this journal
Volume:: 12
Issue:: 8
Pages:: 1975-2003
Publication date:: 2018-12-04
Acceptance date:: 2018-06-12
DOI:: 10.2140/ant.2018.12.1975
EISSN:: 1944-7833
ISSN:: 1937-0652

Keywords:: tt-geometry

filtration

filtered module

classification

tensor triangulated category
Pubs id:: pubs:929595
UUID:: uuid:a2d4406c-f502-4cf4-9cce-a2f8d13cb023
Local pid:: pubs:929595
Source identifiers:: 929595
Deposit date:: 2018-10-19

Terms of use

Copyright date:: 2018
Notes:: This is the accepted manuscript version of the article. The final version is available online from Mathematical Sciences Publishers at: 10.2140/ant.2018.12.1975

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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