Effective non-vanishing and the Mukai-type conjecture
Abstract
We introduce some invariants of Fano varieties and propose a Mukai-type conjecture that characterizes the product of projective spaces. Moreover, we prove that the Ambro–Kawamata effective nonvanishing conjecture implies the Mukai-type conjecture.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Kyoto journal of mathematics
- Publisher
- Duke University Press
- Volume
- 66
- Issue
- 3
- Pages
- 643-653
- Publication date
- 21 May 2026
- Language
- EN