{"id":"openai-math/Fujitas-freeness-conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/Fujitas-freeness-conjecture-September-23-2026/Fujitas-freeness-conjecture-September-23-2026.pdf","url":"https://github.com/openai/math/tree/main/preprints/Fujitas-freeness-conjecture-September-23-2026","tags":["algebraic-geometry","linear-systems","vector-bundles"],"score":0,"title":"Fujita's freeness conjecture","domain":"Algebraic and complex geometry","family":"038","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"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 $`K_X+mL`$ is globally generated for every integer $`m\\geq n+1`$.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Fujita’s freeness conjecture"}