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...
Shranjeno v:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2012. |
| Serija: | Lecture Notes in Mathematics
2037 |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
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 |
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| 041 | 0 | |a eng | |
| 082 | |a 515.94 | ||
| 082 | |a 514 | ||
| 082 | |a 510 | ||
| 084 | |a 32Sxx. 2010 | ||
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| 084 | |a 14P15. 2010 | ||
| 084 | |a 57M27. 2010 | ||
| 100 | 1 | |a Némethí, András, |d 19..- | |
| 245 | 1 | 0 | |a Milnor Fiber Boundary of a Non-isolated Surface Singularity |c András Némethi, Ágnes Szilárd. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2037 |x 1617-9692 | |
| 500 | |a L'impression du document génère 236 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1 Introduction 2 The topology of a hypersurface germ f in three variables Milnor fiber 3 The topology of a pair (f ; g) 4 Plumbing graphs and oriented plumbed 3-manifolds 5 Cyclic coverings of graphs 6 The graph GC of a pair (f ; g). The definition 7 The graph GC . Properties 8 Examples. Homogeneous singularities 9 Examples. Families associated with plane curve singularities 10 The Main Algorithm 11 Proof of the Main Algorithm 12 The Collapsing Main Algorithm 13 Vertical/horizontal monodromies 14 The algebraic monodromy of H1( F). Starting point 15 The ranks of H1( F) and H1( F nVg) via plumbing 16 The characteristic polynomial of F via P# and P# 18 The mixed Hodge structure of H1( F) 19 Homogeneous singularities 20 Cylinders of plane curve singularities: f = f 0(x;y) 21 Germs f of type z f 0(x;y) 22 The T;; family 23 Germs f of type f (xayb; z). Suspensions 24 Peculiar structures on F. Topics for future research 25 List of examples 26 List of notations | |
| 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 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 | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Variétés complexes | ||
| 650 | |a Singularités (mathématiques) | ||
| 650 | |a Faisceaux fibrés (mathématiques) | ||
| 650 | |a Topologie algébrique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Fonctions de plusieurs variables complexes | ||
| 700 | 1 | |a Szilárd, Ágnes, |d 19..- |4 aut | |
| 776 | 0 | |0 158094077 |t Milnor fiber boundary of a non-isolated surface singularity |f András Némethi, Ágnes Szilárd |c Heidelberg |n Springer |d 2012 |p 1 vol. (XII-240 p.) |s Lecture notes in mathematics |z 978-3-642-23646-4 | |
| 776 | 0 | |t Milnor Fiber Boundary of a Non-isolated Surface Singularity |b Texte imprimé |z 9783642236488 | |
| 776 | 0 | |0 158094077 |t Milnor fiber boundary of a non-isolated surface singularity |f András Némethi, Ágnes Szilárd |c Heidelberg |n Springer |d 2012 |p 1 vol. (XII-240 p.) |s Lecture notes in mathematics |z 978-3-642-23646-4 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-23647-1 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-1VG2HNVD-V |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750603925 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-23647-1 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753964112 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-23647-1 |z Accès INSA CVL | |
| 997 | |0 974125 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||