English

Generic analytic polyhedron with non-compact automorphism group

Complex Variables 2016-03-31 v1

Abstract

In this paper we prove the following rigidity theorem: a generic analytic polyhedron with non-compact automorphism group is biholomorphic to the product of a complex manifold with compact automorphism group and a polydisk. Moreover, this complex manifold and the dimension of this polydisk can be explicitly described in terms of the limit set of the automorphism group.

Keywords

Cite

@article{arxiv.1603.09238,
  title  = {Generic analytic polyhedron with non-compact automorphism group},
  author = {Andrew Zimmer},
  journal= {arXiv preprint arXiv:1603.09238},
  year   = {2016}
}

Comments

25 pages

R2 v1 2026-06-22T13:21:34.896Z