Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 046-01. A projective fourfold with large fundamental group and non-Stein universal cover
Manuscript map · lines 3455–3464
OpenAI@2026-10-07#rem:oai-p-046-01
Authors: OpenAI. Family 046.
Title: A projective fourfold with large fundamental group and non-Stein universal cover.
Abstract: We construct a smooth projective complex fourfold with large fundamental group whose universal cover is not Stein. The universal cover contains no positive-dimensional compact complex-analytic subvariety, so this disproves Shafarevich's holomorphic-convexity conjecture even under the large-fundamental-group hypothesis.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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