Preprint in the OpenAI Math release
The normalized-volume gap in dimension four
OpenAI
Abstract
We prove that every singular complex algebraic klt fourfold germ with zero boundary has normalized volume at most 162, with equality precisely for an analytic ordinary double point. This resolves the ordinary-double-point volume-gap conjecture in dimension four.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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