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- catalog abstract "This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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.".
- catalog contributor b2414516.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Includes bibliographical references and index.".
- catalog description "This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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.".
- catalog extent "111 p. ;".
- catalog hasFormat "Traces of differential forms and Hochschildhomology.".
- catalog identifier "0387509852 (U.S.)".
- catalog identifier "3540509852".
- catalog isFormatOf "Traces of differential forms and Hochschildhomology.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1368.".
- catalog isPartOf "Lecture notes in mathematics ; 1368".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Traces of differential forms and Hochschildhomology.".
- catalog subject "510 s 514/.23 19".
- catalog subject "Differential forms.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Homology theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no.1368 QA381".
- catalog title "Traces of differential forms and Hochschild homology / Reinhold Hübl.".
- catalog type "text".