Linear Shafarevich Conjecture

2009/04/04 by Philippe Eyssidieux, Eyssidieux, Philippe, Ludmil Katzarkov +5 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0904.0693

openalex publication_date 2009/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We prove that the universal covering space of a complex projective manifold is holomorphically convex provided its fundamental group is linear.

Cited by

• Hyperbolicity and fundamental groups of complex quasi-projective varieties (II): via non-abelian Hodge theories
• Holomorphic Deformations of Compact Kähler Hyperbolic Manifolds

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