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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2012. |
| Schriftenreihe: | Lecture Notes in Mathematics
2037 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
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 |
Inhaltsangabe:
- 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