4 papers
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…
The valuative tree
Charles Favre, Mattias Jonsson
We describe the set V of all real valued valuations v on the ring C[[x,y]] normalized by min{v(x),v(y)}=1. It has a natural structure of an R-tree, induced by the order relation v…
Brolin's Theorem for curves in two complex dimensions
Charles Favre, Mattias Jonsson
Given a holomorphic selfmap f of the complex projective plane of algebraic degree at least 2, we give sufficient conditions on a positive closed (1,1) current S of unit mass under…
Regular Polynomial Endomorphisms of C^k
Eric Bedford, Mattias Jonsson
We study the dynamics of polynomial mappings f:C^k to C^k of degree at least 2 that extend continuously to projective space P^k. Our approach is to study the dynamics near the hype…