10 citations · 15 across the 6 of their papers we have counts for
6 papers
Orbifold Kähler Groups related to Mapping Class groups
Philippe Eyssidieux, Louis Funar
We construct certain orbifold compactifications of the moduli stack of pointed stable curves over and study their fundamental groups by means of their quantum represent…
Orbifold kähler groups and the shafarevich conjecture for hirzebruch's covering surfaces with equal weights
Philippe Eyssidieux
This article is devoted to examples of (orbifold) Kähler groups from the perspective of the so-called Shafarevich conjecture on holomorphic convexity. It aims at pointing out that…
Erratum to Viscosity solutions to complex Monge-Ampère equations
Philippe Eyssidieux, Vincent Guedj, Ahmed Zeriahi
The proof of the comparison principlein [EGZ11] is not complete. We provide here an alternative proof, valid in the ample locus of any big cohomology class, and discuss the resulti…
Weak solutions to degenerate complex Monge-Ampére Flows II
Philippe Eyssidieux, Vincent Guedj, Ahmed Zeriahi
Studying the (long-term) behavior of the Kähler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-Ampére…
Instantons and framed sheaves on Kähler Deligne-Mumford stacks
Philippe Eyssidieux, Francesco Sala
We provide stacky generalizations of classical gauge-theoretic results inspired by Donaldson, the Uhlenbeck-Yau theorem and variants due to Bando and his collaborators. Moreover, w…
Représentations linéaires de groupes kählériens et de leurs analogues projectifs
Frédéric Campana, Benoît Claudon, Philippe Eyssidieux
In this note we establish the following result (announced in a previous work): if a linear group is the image of a representation of a Kähler group, then it has a finite index subg…