Some noncoherent, nonpositively curved Kähler groups

  • Pierre Py

    Université de Strasbourg, France
Some noncoherent, nonpositively curved Kähler groups cover
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Abstract

If is any nonuniform lattice in the group PU(2,1), let be the quotient of obtained by filling the cusps of (i.e. killing the center of parabolic subgroups). Assuming that such a lattice has positive first Betti number, we prove that for any sufficiently deep subgroup of finite index , the group is noncoherent. The proof relies on previous work of M. Kapovich as well as of C. Hummel and V. Schroeder.

Cite this article

Pierre Py, Some noncoherent, nonpositively curved Kähler groups. Enseign. Math. 62 (2016), no. 1/2, pp. 171–187

DOI 10.4171/LEM/62-1/2-10