Effective non-vanishing and Mukai type conjecture
Algebraic Geometry
2023-06-29 v2
Abstract
We introduce some invariants of Fano varieties and propose a Mukai-type conjecture which characterizes the product of projective spaces. Moreover, we prove that the Ambro--Kawamata effective non-vanishing conjecture implies the Mukai-type conjecture.
Cite
@article{arxiv.2306.08841,
title = {Effective non-vanishing and Mukai type conjecture},
author = {Yoshinori Gongyo},
journal= {arXiv preprint arXiv:2306.08841},
year = {2023}
}
Comments
9 pages, no figure, v2: fix some mistakes in the definitions and typos