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Equi-singularity of real families and Lipschitz Killing curvature densities at infinity
Nicolas Dutertre, Vincent Grandjean
Fix an o-minimal structure expanding the ordered field of real numbers. Let be a definable family of closed subsets of whose total space $…
Fibrations structure and degree formulae for Milnor fibers
Nicolas Dutertre, Raimundo N. Araújo Dos Santos, Ying Chen +1
In this survey, we remind some fibrations structure theorems (also called Milnor's fibrations) recently proved in the real and complex case, in the local and global settings. We gi…
Open book structures on semi-algebraic manifolds
Nicolas Dutertre, Raimundo N. Araújo Dos Santos, Ying Chen +1
Given a semi-algebraic mapping we consider its restriction to an embedded closed semi-algebraic…
Euler obstruction and Lipschitz-Killing curvatures
Nicolas Dutertre
Applying a local Gauss-Bonnet formula for closed subanalytic sets to the complex analytic case, we obtain characterizations of the Euler obstruction of a complex analytic germ in t…