Triangular Witt groups - Part II: From usual to derived

Authors
Citation
P. Balmer, Triangular Witt groups - Part II: From usual to derived, MATH Z, 236(2), 2001, pp. 351-382
Citations number
17
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
236
Issue
2
Year of publication
2001
Pages
351 - 382
Database
ISI
SICI code
0025-5874(200102)236:2<351:TWG-PI>2.0.ZU;2-3
Abstract
We establish that the derived Witt group is isomorphic to the usual Witt gr oup when 2 is invertible. This key result opens the Ali Baba's cave of tria ngular Witt groups, linking the abstract results of Part I to classical que stions for the usual Witt group. For commercial purposes, we survey the fut ure applications of triangular Witt groups in the introduction. We also est ablish a connection between odd-indexed Witt groups and formulations. Final ly, we prove that over a commutative local ring in which 2 is a unit, the s hifted derived Witt groups are all zero but the usual one.