421 citations
- Université Paris CitéFR88 papers
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14 papers · 1 filter
On fixed-polynomial size circuit lower bounds for uniform polynomials in the sense of Valiant
Hervé Fournier, Sylvain Perifel, Rémi de Verclos
Assuming the Generalised Riemann Hypothesis (GRH), we show that for all k, there exist polynomials with coefficients in $\MA$ having no arithmetic circuits of size O(n^k) over the…
Energy-momentum's local conservation laws and generalized isometric embeddings of vector bundles
Nabil Kahouadji
This text is the extended version of a talk given at the conference Geometry, Topology, QFT and Cosmology hold from May 28 to May 30, 2008 at the Observatoire de Paris. Using exter…
Cartan-Kähler Theory and Applications to Local Isometric and Conformal Embedding
Nabil Kahouadji
This text is the extended version of a talk given at 6th Meeting of Integrable Systems and Quantum Filed Theory at Peyresq hold from June 10 2006 to June 17, 2006 at Peyresq, Franc…
Highly transitive actions of groups acting on trees
Pierre Fima, Soyoung Moon, Yves Stalder
We show that a group acting on a non-trivial tree with finite edge stabilizers and icc vertex stabilizers admits a faithful and highly transitive action on an infinite countable se…
Branched Spherical CR structures on the complement of the figure eight knot
Elisha Falbel, Jieyan Wang
We obtain a branched spherical CR structure on the complement of the figure eight knot with a given holonomy representation (called rho_2). There are essentially two boundary unipo…
On the total curvature of tropical hypersurfaces
Benoît Bertrand, Lucía López de Medrano, Jean-Jacques Risler
This paper studies the curvatures of amoebas and real amoebas (i.e. essentially logarithmic curvatures of the complex and real parts of a real algebraic hypersurface) and of tropic…