23 citations
- Université de BourgogneFR20 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR2 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR2 papers
- Toronto Metropolitan UniversityCA2 papers
- Centre de Mathématiques Laurent SchwartzFR1 paper
- École PolytechniqueFR1 paper
- Institut Camille JordanFR1 paper
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR1 paper
- Institut de recherche mathématique de RennesFR1 paper
- Institut FourierFR1 paper
- International Center for Transitional JusticeUS1 paper
7 papers · 1 filter
Abundance of -robust homoclinic tangencies
C. Bonatti, L. J. Diaz
A diffeomorphism has a -robust homoclinic tangency if there is a -neighbourhood $\cU$ of such that every diffeomorphism in $g\in \cU$ has a hyperbolic set $\La_g$…
Automorphisms of A1-fibered surfaces
Jérémy Blanc, Adrien Dubouloz
We develop technics of birational geometry to study automorphisms of affine surfaces admitting many distinct rational fibrations, with a particular focus on the interactions betwee…
On the existence of attractors
Christian Bonatti, Ming Li, Dawei Yang
On every compact 3-manifold, we build a non-empty open set $\cU$ of $\Diff^1(M)$ such that, for every , every -generic diffeomorphism $f\in\cU\cap \Diff^r(M)$ has no…
Inequivalent embeddings of the Koras-Russell cubic threefold
Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni
The Koras-Russell threefold is the hypersurface X of the complex affine four-space defined by the equation x^2y+z^2+t^3+x=0. It is well-known that X is smooth contractible and rati…
Pseudo-Abelian integrals: unfolding generic exponential case
Marcin Bobienski, Pavao Mardesic, Dmitry Novikov
We consider an integrable polynomial system with generalized Darboux first integral H_0. We assume that it defines a family of real cycles in a region bounded by a polycycle. To an…
Deformations Feuilletees Des Varietes De Hopf
Laurent Meersseman, Marcel Nicolau, Alberto Verjovsky
In this article, we focus on a very special class of foliations with complex leaves whose diffeomorphism type is fixed. They have a unique compact leaf and the noncompact leaves al…