Abstract
Let $X$ be a Fano variety with at worst isolated quotient singularities. Our result asserts that if $C \cdot (-K_X) \gt max \{\frac{n}{2} + 1, \frac{2n}{3}\}$ for every curve $C \subset X$, then $\rho_X = 1$.
Information
Published: 1 January 2010
First available in Project Euclid: 24 November 2018
zbMATH: 1214.14010
MathSciNet: MR2761927
Digital Object Identifier: 10.2969/aspm/06010195
Subjects:
Primary:
14E30
Keywords:
Fano variety
,
quotient singularities
,
twisted stable maps
Rights: Copyright © 2010 Mathematical Society of Japan