9 citations · 19 across the 12 of their papers we have counts for
8 papers · 1 filter
Global Chern currents of coherent sheaves and Baum Bott currents
Lucas Kaufmann, Richard Lärkäng, Elizabeth Wulcan
We provide global extensions of previous results about representations of characteristic classes of coherent analytic sheaves and of Baum-Bott residues of holomorphic foliations. W…
Baum-Bott residue currents
Lucas Kaufmann, Richard Lärkäng, Elizabeth Wulcan
Let be a holomorphic foliation of rank on a complex manifold of dimension , let be a compact connected component of the singular set of ,…
Intersection of (1,1)-currents and the domain of definition of the Monge-Ampere operator
Dinh Tuan Huynh, Lucas Kaufmann, Duc-Viet Vu
We study the Monge-Amp\` ere operator within the framework of Dinh-Sibony's intersection theory defined via density currents. We show that if is a plurisubharmonic function bel…
Random products of matrices: a dynamical point of view
Tien-Cuong Dinh, Lucas Kaufmann, Hao Wu
We study random products of matrices in SL_2(C) from the point of view of holomorphic dynamics. For non-elementary measures with finite first moment we obtain the exponential conve…
Density and intersection of (1,1)-currents
Lucas Kaufmann, Duc-Viet Vu
We study density currents associated with a collection of positive closed (1,1)-currents. We prove that the density current is unique and determined by the usual wedge product in s…
Self-intersection of foliated cycles on complex manifolds
Lucas Kaufmann
Let X be a compact Kahler manifold and let T be a foliated cycle directed by a transversally Lipschitz lamination on X . We prove that the self-intersection of the cohomology class…
Commuting pairs of endomorphisms of P^2
Lucas Kaufmann
We consider commuting pairs of holomorphic endomorphisms of P^2 with disjoint sequence of iterates. The remaining case to be studied is when their degrees coincide after some numbe…
Some properties of plurisubharmonic functions
Alano Ancona, Lucas Kaufmann
Two properties of plurisubharmonic functions are proven. The first result is a Skoda type integrability theorem with respect to a Monge-Ampère mass with Hölder continuous potential…