{"id":"openai-math/Invariant-anticanonical-indices-and-conversion-of-twisted-differentials","pdf":"https://github.com/openai/math/blob/main/preprints/Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026","tags":["complex-geometry","birational-geometry","torus-actions"],"score":0,"title":"Invariant anticanonical indices and conversion of twisted differentials","domain":"Algebraic and complex geometry","family":"068","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"For a holomorphic action of a compact torus on a compact complex manifold, we prove that the invariant Euler characteristic of naturally linearized anticanonical powers is polynomial on a divisible progression, with its actual value at exponent zero. Independently, on a smooth projective variety with smoothly semipositive anticanonical bundle, we remove a fixed pseudoeffective error from an unbounded sequence of effective twists. These results convert invariant cohomology into twisted differential forms and prove anticanonical nonvanishing on smooth projective varieties with smoothly…","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"}