19 citations
16 papers
A priori -estimates for degenerate complex Monge-Ampère equations
P. Eyssidieux, V. Guedj, A. Zeriahi
We study families of complex Monge-Ampère equations, focusing on the case where the cohomology classes degenerate to a non big class. We establish uniform a priori -est…
The weigthed Monge-Ampère energy of quasiplurisubharmonic functions
Vincent Guedj, Ahmed Zeriahi
We study degenerate complex Monge-Ampère equations on a compact Kähler manifold . We show that the complex Monge-Ampère operator is well-defined on the c…
Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire
Guillaume Rond
We give here a description of the motivic Poincare series in case of irreducible quasi-ordinary hypersurfaces in all dimension. We give an explicit formula in a particular case. Fi…
On the structure of quantum permutation groups
Teodor Banica, Sergiu Moroianu
The quantum permutation group of the set corresponds to the Hopf algebra . This is an algebra constructed with generators and relations, known to b…
Towards an axiomatization of the theory of higher categories
B. Toen
We define a notion of "theory of (1,infty)-categories", and we prove that such a theory is unique up to equivalence.
Hyperideal circle patterns
Jean-Marc Schlenker
A ``hyperideal circle pattern'' in is a finite family of oriented circles, similar to the ``usual'' circle patterns but such that the closed disks bounded by the circles do n…