Évènement

Viet Anh Nguyen
Paris-Sud University
http://math.univ-lille1.fr/~vnguyen/index_English.html

Date(s) : 16/02/2015   iCal
10h00 - 11h00

Harmonic currents directed near hyperbolic singularities

Let \Fc be a holomorphic foliation by curves defined in a neighborhood of 0 in \C^2 having 0 as a hyperbolic singularity. Let T be a harmonic current directed by \Fc which does not give mass to any of the two separatrices. Then we show that the Lelong number of T at 0 vanishes. Next, we apply this local result to investigate the global mass-distribution for directed harmonic currents on singular holomorphic foliations living on compact complex surfaces. Finally, we apply this global result to study the recurrence phenomenon of a generic leaf.

https://arxiv.org/abs/1411.6421

Catégories

• Séminaire