Over 10 mio. titler Fri fragt ved køb over 499,- Hurtig levering Forlænget returret til 31/01/25

Milnor Fiber Boundary of a Non-isolated Surface Singularity

- 2012

  • Format
  • Bog, paperback
  • Engelsk

Beskrivelse

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.

Læs hele beskrivelsen
Detaljer
Størrelse og vægt
  • Vægt454 g
  • Dybde1,3 cm
  • coffee cup img
    10 cm
    book img
    15,5 cm
    23,5 cm

    Findes i disse kategorier...

    Machine Name: SAXO084