@inproceedings{19cf46f74f3444d9979b5cbdb0d3701b,

title = "Dimension of finite free complexes over commutative noetherian rings",

abstract = "Foxby defined the (Krull) dimension of a complex of modules over a commutative Noetherian ring in terms of the dimension of its homology modules. In this note it is proved that the dimension of a bounded complex of free modules of finite rank can be computed directly from the matrices representing the differentials of the complex.",

keywords = "Codimension, Dimension, Perfect complex",

author = "Christensen, {Lars Winther} and Iyengar, {Srikanth B.}",

note = "Funding Information: 2020 Mathematics Subject Classification. Primary 13D02; Secondary 13C15. Key words and phrases. Codimension, dimension, perfect complex. The first author was partly supported by Simons Foundation collaboration grant 428308; the second author was partly supported by NSF grant DMS-1700985. Publisher Copyright: {\textcopyright} 2021 by the American Mathematical Society. All rights reserved.; 2nd International Meeting on Commutative Algebra and Related Areas, SIMCARA 2019, and the AMS Special Session on Commutative Algebra, 2019 ; Conference date: 14-09-2019 Through 15-09-2019",

year = "2021",

doi = "10.1090/conm/773/15529",

language = "English",

isbn = "9781470456016",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "11--18",

editor = "Baeth, {Nicholas R.} and Freitas, {Thiago H.} and Leuschke, {Graham J.} and {Jorge P{\'e}rez}, {Victor H.}",

booktitle = "Commutative Algebra",

}