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Titlebook: Traces of Differential Forms and Hochschild Homology; Reinhold Hübl Book 1989 Springer-Verlag Berlin Heidelberg 1989 K-theory.algebraic ge

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書目名稱Traces of Differential Forms and Hochschild Homology
編輯Reinhold Hübl
視頻videohttp://file.papertrans.cn/928/927336/927336.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Traces of Differential Forms and Hochschild Homology;  Reinhold Hübl Book 1989 Springer-Verlag Berlin Heidelberg 1989 K-theory.algebraic ge
描述This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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.
出版日期Book 1989
關(guān)鍵詞K-theory; algebraic geometry; cohomology; homology; residue
版次1
doihttps://doi.org/10.1007/BFb0098406
isbn_softcover978-3-540-50985-1
isbn_ebook978-3-540-46125-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1989
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