On Koszul complexes of exterior powers of endomorphisms of a free module

Authors
Aleksandrov, AG Kouznetsov, AN
Citation
Ag. Aleksandrov et An. Kouznetsov, On Koszul complexes of exterior powers of endomorphisms of a free module, CR AC S I, 329(10), 1999, pp. 849-854
Citations number
4
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
10
Year of publication
1999
Pages
849 - 854
Database
ISI
SICI code
0764-4442(19991115)329:10<849:OKCOEP>2.0.ZU;2-R
Abstract
We prove that the acyclicity of the Koszul complex of the determinants of m utually commuting endomorphisms of a free module is equivalent to the acycl icity of the Koszul complex of exterior products of all degrees. (C) 1999 A cademie des sciences/Editions scientifiques et medicales Elsevier SAS.