{"id":"openai-math/Exact-orders-and-invariant-anticanonical-linear-systems","pdf":"https://github.com/openai/math/blob/main/preprints/Exact-orders-and-invariant-anticanonical-linear-systems-September-26-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Exact-orders-and-invariant-anticanonical-linear-systems-September-26-2026","tags":["algebraic-geometry","anticanonical-divisors","valuations"],"score":0,"title":"Exact orders and invariant anticanonical linear systems","domain":"Algebraic and complex geometry","family":"068","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"On a smooth connected projective complex variety with smoothly semipositive anticanonical bundle, we prove that asymptotically zero valuation on the curvature-null face is attained by an effective rational anticanonical divisor. The fixed auxiliary line bundle is arbitrary.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-26","reactions":{},"formalized":false,"family_title":"Anticanonical nonvanishing in every dimension"}