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Band 2037

Milnor Fiber Boundary of a Non-isolated Surface Singularity

Aus der Reihe Lecture Notes in Mathematics

55,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.01.2012

Abbildungen

XII, 240 p.

Verlag

Springer Berlin

Seitenzahl

240

Maße (L/B/H)

23,5/15,5/1,5 cm

Gewicht

394 g

Auflage

2012

Sprache

Englisch

ISBN

978-3-642-23646-4

Beschreibung

Rezension

From the reviews:

“The aim of this book is to study the topological types of the oriented smooth 3-manifolds appearing as boundaries ∂F of the Milnor fibers of complex surface singularities of embedding dimension 3, as well as the monodromy actions on their homology. … It is clearly invaluable for anybody interested in the topology of non-isolated complex surface singularities and even of singularities of real analytic spaces of dimension 4.” (Patrick Popescu-Pampu, Mathematical Reviews, January, 2014)

“The book describes three manifolds which occur in relation with complex hypersurfaces in C
3
near singular points. … I recommend it to all students and researchers who are interested in the local topology of algebraic varieties. It contains a good description of techniques, such as plumbing, cyclic coverings, monodromy, et cetera. The book is well written and ends with several topics for future research.” (Dirk Siersma, Nieuw Archief voor Wiskunde, Vol. 14 (2), June, 2013)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.01.2012

Abbildungen

XII, 240 p.

Verlag

Springer Berlin

Seitenzahl

240

Maße (L/B/H)

23,5/15,5/1,5 cm

Gewicht

394 g

Auflage

2012

Sprache

Englisch

ISBN

978-3-642-23646-4

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Milnor Fiber Boundary of a Non-isolated Surface Singularity
  • Produktbild: Milnor Fiber Boundary of a Non-isolated Surface Singularity

  • 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 G
    C
    of a pair (
    f
    ;
    g
    ). The definition.- 7 The graph G
    C
    . 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
    H
    1(¶
    F
    ) and
    H
    1(¶
    F
    n
    V
    g
    ) via plumbing.- 16 The characteristic polynomial of ¶
    F
    via
    P
    # and
    P
    #.- 18 The mixed Hodge structure of
    H
    1(¶
    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
    (
    x
    a
    y
    b
    ;
    z
    ). Suspensions.- 24 Peculiar structures on ¶
    F
    . Topics for future research.- 25 List of examples.- 26 List of notations