Local Moduli and Singularities
This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal fami...
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| Asıl Yazarlar: | , |
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| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in mathematics
1310 |
| Konular: | |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Local moduli and singularities, Olav Arnfinn Laudal, Gerhard Pfister, 1988, Berlin, Springer, 1 volume (V-116 pages), Lecture notes in mathematics, 3-540-19235-2 • Local Moduli and Singularities, Texte imprimé, 9783662167304 |
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| 082 | |a 510 | ||
| 084 | |a 14D15. 1980 | ||
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| 100 | 1 | |a Laudal, Olav Arnfinn, |d 1936- | |
| 245 | 1 | 0 | |a Local Moduli and Singularities |c Olav Arnfinn Laudal, Gerhard Pfister. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1310 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a The prorepresenting substratum of the formal moduli -- Automorphisms of the formal moduli -- The kodaira-spencer map and its kernel -- Applications to isolated hypersurface singularities -- Plane curve singularities with k*-action -- The generic component of the local moduli suite -- The moduli suite of x 1 5 +x 2 11 . | |
| 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 research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. The main results are the existence, in a general context, of a local moduli suite in the category of algebraic spaces, and the proof that, generically, this moduli suite is the quotient of a canonical filtration of the base space of the versal family by the action of the Kodaira-Spencer kernel. Applied to the special case of quasihomogenous hypersurfaces, these ideas provide the framework for the proof of the existence of a coarse moduli scheme for plane curve singularities with fixed semigroup and minimal Tjurina number . An example shows that for arbitrary the corresponding moduli space is not, in general, a scheme. The book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. It assumes a working knowledge of deformation theory. | ||
| 650 | |a Théorie des modules | ||
| 650 | |a Singularités (mathématiques) | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Groupes topologiques | ||
| 700 | 1 | |a Pfister, Gerhard, |d 1947- |4 aut | |
| 776 | 0 | |0 020793871 |t Local moduli and singularities |f Olav Arnfinn Laudal, Gerhard Pfister |d 1988 |c Berlin |n Springer |p 1 volume (V-116 pages) |s Lecture notes in mathematics |z 3-540-19235-2 | |
| 776 | 0 | |t Local Moduli and Singularities |b Texte imprimé |z 9783662167304 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0078937 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-K9BQ3JM2-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750675012 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0078937 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754023516 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0078937 |z Accès INSA CVL | |
| 997 | |0 969343 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||