Effective nonvanishing for weighted complete intersections of codimension two
Abstract
We show Kawamata’s effective nonvanishing conjecture (also known as the Ambro–Kawamata nonvanishing conjecture) holds for quasismooth weighted complete intersections of codimension 2. Namely, for a quasismooth weighted complete intersection X of codimension 2 and an ample Cartier divisor H on X such that H−KX is ample, the linear system |H| is nonempty.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Advanced Optimization Algorithms Research
Publication details
- Journal / source
- Kyoto journal of mathematics
- Publisher
- Duke University Press
- Volume
- -1
- Issue
- -1
- Pages
- 1–15
- Publication date
- 1 January 2026
- Language
- EN