Open Access
VOL. 60 | 2010 On Fano varieties with large pseudo-index
Jiun-Cheng Chen

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

Adv. Stud. Pure Math., 2010: 195-213 (2010) DOI: 10.2969/aspm/06010195

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

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