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Titlebook: Singularities and Foliations. Geometry, Topology and Applications; BMMS 2/NBMS 3, Salva Raimundo Nonato Araújo dos Santos,Aurélio Menegon

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A Global View on Generic GeometryWe describe how the study of the singularities of height and distance squared functions on submanifolds of Euclidean space, combined with adequate topological and geometrical tools, shows to be useful to obtain global geometrical properties. We illustrate this with several results concerning closed curves and surfaces immersed in . for ..
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On the Factorization of the Polar of a Plane Branchacteristic exponents of the irreducible components of the polar and their mutual intersection multiplicities, allowing us in particular to describe completely the content of each of Merle’s packages of the polar.
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Local Zeta Functions for Rational Functions and Newton Polyhedrahic continuations for these zeta functions, as rational functions of ., and give explicit formulas. In contrast with the classical local zeta functions, the meromorphic continuations of zeta functions for rational functions have poles with positive and negative real parts.
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