Traces of Differential Forms and Hochschild Homology
This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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 d...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1368 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Traces of differential forms and Hochschild homology, Reinhold Hübl, 1989, Berlin, Springer, 1 volume (111 pages), Lecture notes in mathematics, 3-540-50985-2 • Traces of Differential Forms and Hochschild Homology, Texte imprimé, 9783662198612 |
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| 245 | 1 | 0 | |a Traces of Differential Forms and Hochschild Homology |c Reinhold Hübl. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1368 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a The Hochschild homology and the Hochschild cohomology of a topological algebra -- Differential forms and Hochschild homology -- Traces in Hochschild homology -- Traces of Differential Forms -- Traces in complete intersections -- The topological residue homomorphism -- Trace formulas for residues of differential forms. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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. | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Homologie | ||
| 650 | |a Formes différentielles | ||
| 776 | 0 | |0 021032688 |t Traces of differential forms and Hochschild homology |f Reinhold Hübl |d 1989 |c Berlin |n Springer |p 1 volume (111 pages) |s Lecture notes in mathematics |z 3-540-50985-2 | |
| 776 | 0 | |t Traces of Differential Forms and Hochschild Homology |b Texte imprimé |z 9783662198612 | |
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