Rigid Manifolds of general type with non-contractible universal cover

Davide Frapporti; Christian Gleissner

Rigid Manifolds of general type with non-contractible universal cover

Algebraic Geometry 2023-03-08 v4 Complex Variables

Authors: Davide Frapporti , Christian Gleissner

Abstract

For each $n\geq 3$ we give examples of infinitesimally rigid projective manifolds of general type of dimension $n$ with non-contractible universal cover. We provide examples with projective and examples with non-projective universal cover.

Keywords

rigid manifolds general type universal cover projective manifolds infinitesimally rigid

Cite

@article{arxiv.2104.06775,
  title  = {Rigid Manifolds of general type with non-contractible universal cover},
  author = {Davide Frapporti and Christian Gleissner},
  journal= {arXiv preprint arXiv:2104.06775},
  year   = {2023}
}

Comments

9 pages, 1 table. v2: minor changes; v3: extended the main construction, proved a stronger result throught a simpler proof; v4: minor correction, final version to appear on Geometriae Dedicata

Rigid Manifolds of general type with non-contractible universal cover

Abstract

Keywords

Cite

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