Effective non-vanishing and Mukai type conjecture

2023/06/15 by Gongyo, Yoshinori
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14J45 #Secondary 14E30

paper · doi:10.48550/arxiv.2306.08841

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.

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