{"id":"openai-math/Bounded-anticanonical-metrics-on-klt-pairs-and-torus-quotients","pdf":"https://github.com/openai/math/blob/main/preprints/Bounded-anticanonical-metrics-on-klt-pairs-and-torus-quotients-September-26-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Bounded-anticanonical-metrics-on-klt-pairs-and-torus-quotients-September-26-2026","tags":["algebraic-geometry","klt-pairs","anticanonical-bundle"],"score":0,"title":"Bounded anticanonical metrics on klt pairs and torus quotients","domain":"Algebraic and complex geometry","family":"068","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"Let $`(W,D)`$ be a projective ℚ-factorial klt pair with effective rational boundary. We prove that a positive Cartier multiple of $`-(K_W+D)`$ has a nonzero section if this divisor is nef, its pullback to a resolution admits a semipositive metric with locally bounded weights, and the resolution has nonzero structure-sheaf Euler characteristic. Consequently a smooth rationally connected projective variety with smoothly semipositive anticanonical bundle has a nonzero naturally invariant anticanonical plurisection for every algebraic torus action.","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"}