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- Centre National de la Recherche ScientifiqueFR542 papers
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9 papers · 2 filters
Decomposition, purity and fibrations by normal crossing divisors
Fouad El Zein, Dung Trang Lê, Xuanming Ye
We give a simple geometric proof of the decomposition theorem in terms of Thom-Whitney stratifications by reduction to fibrations by normal crossings divisors over the strata and e…
Lipschitz normal embedding among superisolated singularities
Filip Misev, Anne Pichon
Any germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the…
Local cyclicity of isogeny classes of abelian varieties defined over finite fields
Alejandro J. Giangreco-Maidana
For a prime number , an isogeny class of abelian varieties is called -cyclic if every variety in have a cyclic -part of its group of r…
A characterization of Lipschitz normally embedded surface singularities
Walter D Neumann, Helge Møller Pedersen, Anne Pichon
Any germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the…
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka +1
We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. For this purpose we develop motivic integration in the real al…
On the cyclicity of the rational points group of abelian varieties over finite fields
Alejandro J. Giangreco-Maidana
We propose a simple criterion to know if an abelian variety defined over a finite field is cyclic, i.e., it has a cyclic group of rational points; this criterion…