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Milnor Fiber Boundary of a Non-isolated Surface Singularity
  • Bandtyp: Häftad
  • Språk: Engelska
  • Utgiven: 201201
  • Antal sidor: 240
  • Upplaga: 2012, 
    Vikt i gram: 397
  • ISBN10:3642236464
  • ISBN13:9783642236464

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 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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