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Preprint in the OpenAI Math release

Termination for projective log canonical fourfolds with rational boundary

OpenAI

Abstract

We prove that every permitted minimal model program for a projective log canonical fourfold with rational boundary over an algebraically closed field of characteristic zero terminates. The result allows arbitrary negative extremal rays and mixed birational steps on the given models, without pseudo-effectivity or initial ℚ-factoriality.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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