273 citations
- Université de BourgogneFR417 papers
- Centre National de la Recherche ScientifiqueFR227 papers
- Université Bourgogne Franche-ComtéFR51 papers
- Laboratoire de Mathématiques Blaise PascalFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Sorbonne UniversitéFR12 papers
- Université Paris-SudFR12 papers
- Institut de Mathématiques de BordeauxFR11 papers
- Institut Montpelliérain Alexander GrothendieckFR10 papers
- Laboratoire de Mathématiques d'OrsayFR10 papers
- Laboratoire de Physique de l'ENS de LyonFR10 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR10 papers
48 papers · 1 filter
Computational approach to compact Riemann surfaces
J. Frauendiener, C. Klein
A purely numerical approach to compact Riemann surfaces starting from plane algebraic curves is presented. The critical points of the algebraic curve are computed via a two-dimensi…
Foliated hyperbolicity and foliations with hyperbolic leaves
Christian Bonatti, Xavier Gómez-Mont, Matilde Martínez
Given a lamination in a compact space and a laminated vector field which is hyperbolic when restricted to the leaves of the lamination, we distinguish a class of -invariant…
On critical behaviour in generalized Kadomtsev--Petviashvili equations
Boris Dubrovin, Tamara Grava, Christian Klein
An asymptotic description of the formation of dispersive shock waves in solutions to the generalized Kadomtsev--Petviashvili (KP) equation is conjectured. The asymptotic descriptio…
T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
Vladimir Kazakov, Sebastien Leurent, Dmytro Volin
We propose an efficient grassmannian formalism for solution of bi-linear finite-difference Hirota equation (T-system) on T-shaped lattices related to the space of highest weight re…
Integrability and non integrability of some n body problems
Thierry Combot
We prove the non integrability of the colinear and body problem, for any masses positive masses. To deal with resistant cases, we present strong integrability criterions fo…
Affine-ruled varieties without the Laurent cancellation property
Adrien Dubouloz, Pierre-Marie Poloni
We describe a method to construct hypersurfaces of the complex affine -space with isomorphic -cylinders. Among these hypersurfaces, we find new explicit counterexa…