OpenAI reports a Shafarevich counterexample with large fundamental group
- Mathematics
A smooth projective complex fourfold has large fundamental group but a non-Stein universal cover with no positive-dimensional compact complex-analytic subvarieties.
OpenAI reports a Shafarevich counterexample with large fundamental group
- Mathematics
A smooth projective complex fourfold has large fundamental group but a non-Stein universal cover with no positive-dimensional compact complex-analytic subvarieties.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
A smooth projective complex fourfold has large fundamental group but a non-Stein universal cover with no positive-dimensional compact complex-analytic subvarieties.
Why it matters
If correct, disproves Shafarevich’s holomorphic-convexity conjecture even under its large-fundamental-group hypothesis.
What counts as progress
Must the universal cover of a smooth projective variety with large fundamental group be Stein?
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OpenAI reports a Shafarevich counterexample with large fundamental group