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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012, 2012
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| Edition: | 1st ed. 2012 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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
- 12The 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