97 citations
- École PolytechniqueFR94 papers
- Centre National de la Recherche ScientifiqueFR24 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR13 papers
- Laboratoire Jacques-Louis LionsFR8 papers
- Sorbonne UniversitéFR7 papers
- Centre de Recherche en Mathématiques de la DécisionFR5 papers
- Département de mathématiques et applicationsFR4 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Université Paris CitéFR4 papers
- Université Paris-SaclayFR4 papers
- École Normale Supérieure - PSLFR3 papers
- Institut de recherche mathématique de RennesFR3 papers
5 papers · 1 filter
Small eigenvalues of Toeplitz operators, Lebesgue envelopes and Mabuchi geometry
Siarhei Finski
We study small eigenvalues of Toeplitz operators on polarized complex projective manifolds. For Toeplitz operators whose symbols are supported on proper subsets, we prove the exist…
Toeplitz operators, submultiplicative filtrations and weighted Bergman kernels
Siarhei Finski
We demonstrate that the weight operator associated with a submultiplicative filtration on the section ring of a polarized complex projective manifold is a Toeplitz operator. We fur…
Webs invariant by rational maps on surfaces
Charles Favre, Jorge Vitorio Pereira
We prove that under mild hypothesis rational maps on a surface preserving webs are of Lattès type. We classify endomorphisms of P^2 preserving webs, extending former results of Dab…
A note on the rank of positive closed currents
Romain Dujardin
In this short note we prove an estimate on the rank a.e. of the tangent (p,p) vector to a a positive closed current of bidimension (p,p) in CP^k, in terms of the dimension of its t…
Wermer examples and currents
Romain Dujardin
In this paper we give the first examples of positive closed currents in with continuous potentials, vanishing self-intersection, and which are not laminar. More prec…