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Title of Journal: Geom Dedicata

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Abbravation: Geometriae Dedicata

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Springer Netherlands

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10.1016/0167-2738(92)90205-4

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1572-9168

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New openbook decompositions in singularity theory

Authors: Haydée AguilarCabrera
Publish Date: 2011/05/21
Volume: 158, Issue: 1, Pages: 87-108
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Abstract

In this article we study the topology of real analytic germs F colon mathbbC30 to mathbbC0 given by Fxyz=overlinexyxp+yq+zr with pqr in mathbbN pqr geq 2 and p q = 1 Such a germ gives rise to a Milnor fibration fracFmid F midcolon mathbbS5setminus L F to mathbbS1 We describe the link L F as a Seifert manifold and we show that in many cases the openbook decomposition of mathbbS5 given by the Milnor fibration of F cannot come from the Milnor fibration of a complex singularity in mathbbC3

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Other Papers In This Journal:
  1. On a class of Dupin hypersurfaces in $$R^5$$ with nonconstant Lie curvature
  2. Ruled quartic surfaces, models and classification
  3. Recovery of the C ∞ jet from the boundary distance function
  4. On the space-filling heptahedra
  5. Deforming Curves in Jacobians to Non-Jacobians I: Curves in C (2)
  6. Length spectra and strata of flat metrics
  7. Criteria for asphericity of polyhedral products: corrigenda to “right-angularity, flag complexes, asphericity”
  8. Extremal behavior of divisibility functions
  9. Burnside problem for measure preserving groups and for 2-groups of toral homeomorphisms
  10. Sur les immeubles triangulaires et leurs automorphismes
  11. Convex equipartitions: the spicy chicken theorem
  12. An asymptotic version of Dumnicki’s algorithm for linear systems in $${\mathbb{CP}^2}$$
  13. Geometry of right-angled Coxeter groups on the Croke–Kleiner spaces
  14. Convex hulls in the hyperbolic space
  15. A characterisation of the Hoffman–Wohlgemuth surfaces in terms of their symmetries
  16. Explicit computation of the Chern character forms
  17. Moduli spaces of quadratic complexes and their singular surfaces
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