Effective non-vanishing and Mukai type conjecture

Published 15 Jun 2023 in math.AG | (2306.08841v2)

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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Yoshinori Gongyo

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