Kodaira-Spencer Maps in Local Algebra
The monograph contributes to Lech's inequality - a 30-year-old problem of commutative algebra, originating in the work of Serre and Nagata, that relates the Hilbert function of the total space of an algebraic or analytic deformation germ to the Hilbert function of the parameter space. A weakene...
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| Tác giả chính: | |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Loạt: | Lecture notes in mathematics
1597 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Kodaira-Spencer maps in local algebra, Bernd Herzog, Berlin, Springer-Verlag, 1994, 1 vol. (XVII-176 p.), Lecture notes in mathematics, 0-387-58790-X • Kodaira-Spencer Maps in Local Algebra, Texte imprimé, 9783662164952 |
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| 009 | PPN155229036 | ||
| 020 | |a 9783540491033 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Herzog, Bernd, |d 1949- | |
| 245 | 1 | 0 | |a Kodaira-Spencer Maps in Local Algebra |c Bernd Herzog. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1597 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Ring filtrations -- Basic lemmas -- Tangential flatness under base change -- Relation to flatness -- Distinguished bases -- Hilbert series -- Flatifying filtrations -- Kodaira-Spencer maps -- Inequalities related with flat couples of local rings -- On the local rings of the Hilbert scheme. | |
| 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 The monograph contributes to Lech's inequality - a 30-year-old problem of commutative algebra, originating in the work of Serre and Nagata, that relates the Hilbert function of the total space of an algebraic or analytic deformation germ to the Hilbert function of the parameter space. A weakened version of Lech's inequality is proved using a construction that can be considered as a local analog of the Kodaira-Spencer map known from the deformation theory of compact complex manifolds. The methods are quite elementary, and will be of interest for researchers in deformation theory, local singularities and Hilbert functions. | ||
| 650 | |a Singularités (mathématiques) | ||
| 650 | |a Schémas de Hilbert | ||
| 650 | |a Fonctions caractéristiques | ||
| 650 | |a Algèbre | ||
| 650 | |a Homotopie | ||
| 776 | 0 | |0 022499946 |t Kodaira-Spencer maps in local algebra |f Bernd Herzog |c Berlin |n Springer-Verlag |d 1994 |p 1 vol. (XVII-176 p.) |s Lecture notes in mathematics |z 0-387-58790-X | |
| 776 | 0 | |t Kodaira-Spencer Maps in Local Algebra |b Texte imprimé |z 9783662164952 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0074026 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-WQK4JL72-W |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750633573 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0074026 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753989956 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0074026 |z Accès INSA CVL | |
| 997 | |0 972726 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||