Rigid Manifolds of general type with non-contractible universal cover

Abstract

For each $n\ge 3$ 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.

arXiv comment9 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