Milnor Fiber Boundary of a Non-isolated Surface Singularity
In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set has a 1-dimensional singular locus. We develop a...
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| Главные авторы: | , |
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| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2012. |
| Серии: | Lecture Notes in Mathematics
2037 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
L'impression du document génère 236 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Milnor fiber boundary of a non-isolated surface singularity, András Némethi, Ágnes Szilárd, Heidelberg, Springer, 2012, 1 vol. (XII-240 p.), Lecture notes in mathematics, 978-3-642-23646-4 • Milnor Fiber Boundary of a Non-isolated Surface Singularity, Texte imprimé, 9783642236488 • Milnor fiber boundary of a non-isolated surface singularity, András Némethi, Ágnes Szilárd, Heidelberg, Springer, 2012, 1 vol. (XII-240 p.), Lecture notes in mathematics, 978-3-642-23646-4 |
| Итог: | In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set has a 1-dimensional singular locus. We develop an explicit procedure and algorithm that describe the boundary M of the Milnor fiber of f as an oriented plumbed 3-manifold. This method also provides the characteristic polynomial of the algebraic monodromy. We then determine the multiplicity system of the open book decomposition of M cut out by the argument of g for any complex analytic germ g such that the pair (f,g) is an ICIS. Moreover, the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the ICIS (f,g) are also described. The theory is supported by a substantial amount of examples, including homogeneous and composed singularities and suspensions. The properties peculiar to M are also emphasized |
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| Примечание: | L'impression du document génère 236 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Библиография: | Bibliogr. Index |
| ISBN: | 9783642236471 |
| ISSN: | 1617-9692 |
| Доступ: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |