Dynkin Graphs and Quadrilateral Singularities
The study of hypersurface quadrilateral singularities can be reduced to the study of elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0), and therefore these notes consider, besides the topics of the title, such K3 surfaces too. The combinations of rational double p...
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|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1548 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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: | • Dynkin graphs and quadrilateral singularities, Tohsuke Urabe, Berlin, Springer-Verlag, 1993, 1 vol. (VI- 233 p.), Lecture notes in mathematics, 0-387-56877-8 • Dynkin Graphs and Quadrilateral Singularities, Texte imprimé, 9783662212240 |
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| 245 | 1 | 0 | |a Dynkin Graphs and Quadrilateral Singularities |c Tohsuke Urabe. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1548 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Quadrilateral singularities and elliptic K3 surfaces -- Theorems with the Ik-conditions for J 3,0, Z 1,0 and Q 2,0 -- Obstruction components -- Concept of co-root modules. | |
| 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 study of hypersurface quadrilateral singularities can be reduced to the study of elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0), and therefore these notes consider, besides the topics of the title, such K3 surfaces too. The combinations of rational double points that can occur on fibers in the semi-universal deformations of quadrilateral singularities are examined, to show that the possible combinations can be described by a certain law from the viewpoint of Dynkin graphs. This is equivalent to saying that the possible combinations of singular fibers in elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0) can be described by a certain law using classical Dynkin graphs appearing in the theory of semi-simple Lie groups. Further, a similar description for thecombination of singularities on plane sextic curves is given. Standard knowledge of algebraic geometry at the level of graduate students is expected. A new method based on graphs will attract attention of researches. | ||
| 650 | |a Singularités (mathématiques) | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Hypersurfaces | ||
| 650 | |a Diagrammes de Dynkin | ||
| 776 | 0 | |0 017123615 |t Dynkin graphs and quadrilateral singularities |f Tohsuke Urabe |c Berlin |n Springer-Verlag |d 1993 |p 1 vol. (VI- 233 p.) |s Lecture notes in mathematics |z 0-387-56877-8 | |
| 776 | 0 | |t Dynkin Graphs and Quadrilateral Singularities |b Texte imprimé |z 9783662212240 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0084369 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-3PHVPWCS-J |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750664037 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0084369 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754013383 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0084369 |z Accès INSA CVL | |
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