Anticanonical nonvanishing in every dimension
What the paper claims, in its own words
If X is a smooth connected complex projective variety and admits a smooth Hermitian metric with nonnegative curvature, then for some m > 0. Thus smooth semipositivity forces a nonzero section of a positive tensor power of the anticanonical bundle in every dimension.
The plain-language explainer for this entry is still coming.
The original papers (7)
- Anticanonical nonvanishing from smooth semipositivity (PDF, opens in a new tab) September 26, 2026
- Invariant anticanonical indices and conversion of twisted differentials (PDF, opens in a new tab) September 26, 2026
- Bounded anticanonical metrics on klt pairs and torus quotients (PDF, opens in a new tab) September 26, 2026
- Cohomological transfer and equivariant anticanonical sections (PDF, opens in a new tab) September 26, 2026
- Metric descent and rank-preserving contractions (PDF, opens in a new tab) September 26, 2026
- Integrable metrics and effectivity with controlled boundary (PDF, opens in a new tab) September 26, 2026
- Exact orders and invariant anticanonical linear systems (PDF, opens in a new tab) September 26, 2026