Back to Search Start Over

FINITE HOMOLOGICAL DIMENSION AND A DERIVED EQUIVALENCE.

Authors :
SANDERS, WILLIAM T.
SANE, SARANG
Source :
Transactions of the American Mathematical Society. Jun2017, Vol. 369 Issue 6, p3911-3935. 25p.
Publication Year :
2017

Abstract

For a Cohen-Macaulay ring R, we exhibit the equivalence of the bounded derived categories of certain resolving subcategories, which, amongst other results, yields an equivalence of the bounded derived category of finite length and finite projective dimension modules with the bounded derived category of projective modules with finite length homologies. This yields isomorphisms of K-theory and Witt groups (amongst other invariants) and improves on terms of associated spectral sequences and Gersten complexes. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029947
Volume :
369
Issue :
6
Database :
Academic Search Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
121941757
Full Text :
https://doi.org/10.1090/tran/6882