Preprint in the OpenAI Math release

Fujita's freeness conjecture

OpenAI

Abstract

We prove Fujita's freeness conjecture. If X is a smooth complex projective variety of dimension n and L is an ample line bundle, then $K_{X} + m L$ is globally generated for every integer $m \geq n + 1$ .

open until 1 Jan 2028

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

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