Rigid manifolds of general type with non-contractible universal cover

Geometriae dedicata（2023）

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Abstract

For each n≥ 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.

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Key words

Rigid complex manifolds,Deformation theory,Fundamental group,Classifying space

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