44 citations · 170 across the 28 of their papers we have counts for
6 papers · 1 filter
Regularity of push-forward of Monge-Amp{è}re measures
Eleonora Di Nezza, Charles Favre
We prove that the image under any dominant meromorphic map of the Monge-Amp{è}re measure of a H{ö}lder continuous quasi-psh function still possesses a H{ö}lder potential. We also d…
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…
Foliations invariant by rational maps
C. Favre, J. Vitorio Pereira
We give a classification of pairs (F, f) where F is a holomorphic foliation on a projective surface and f is a non-invertible dominant rational map preserving F. We prove that both…
Valuations and plurisubharmonic singularities
Sebastien Boucksom, Charles Favre, Mattias Jonsson
We extend to higher dimensions some of the valuative analysis of singularities of plurisubharmonic (psh) functions developed by the last two authors. Following Kontsevich and Soibe…
Valuations and multiplier ideals
Charles Favre, Mattias Jonsson
We present a new approach to the study of multiplier ideals in a local, two-dimensional setting. Our method allows us to deal with ideals, graded systems of ideals and plurisubharm…
Valuative analysis of planar plurisubharmonic functions
Charles Favre, Mattias Jonsson
We show that valuations on the ring R of holomorphic germs in dimension 2 may be naturally evaluated on plurisubharmonic functions, giving rise to generalized Lelong numbers in the…