Traces of differential forms and Hochschild homology

＜図書＞
Traces of differential forms and Hochschild homology

責任表示	Reinhold Hübl
シリーズ	Lecture notes in mathematics ; 1368
データ種別	図書
出版情報	Berlin ; Tokyo : Springer-Verlag , c1989
本文言語	英語
大きさ	111 p. : ill. ; 25 cm
概要	This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and the...r relations to duality theory for projective morphisms. The approach uses Hochschild-homology, the definition of which is extended to the category of topological algebras. Many results for Hochschild-homology of commutative algebras also hold for Hochschild-homology of topological algebras. In particular, after introducing an appropriate notion of completion of differential algebras, one gets a natural transformation between differential forms and Hochschild-homology of topological algebras. Traces of differential forms are of interest to everyone working with duality theory and residue symbols. Hochschild-homology is a useful tool in many areas of k-theory. The treatment is fairly elementary and requires only little knowledge in commutative algebra and algebraic geometry. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6797679

著者標目	*Hübl, Reinhold, 1961-
件　名	LCSH:Differential forms LCSH:Homology theory
分　類	LCC:QA3 LCC:QA381 DC19:510 s DC19:514/.23 NDC8:410.8
書誌ID	1000036446
ISBN	3540509852
NCID	BA06806746
巻冊次	: gw ; ISBN:3540509852 : us ; ISBN:0387509852
登録日	2009.09.10
更新日	2017.02.18