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VOL. 74 | 2017 Rational curves on algebraic spaces
James McKernan

Editor(s) Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama

Abstract

We prove a conjecture of Starr [11] that the conclusion of bend and break holds for proper algebraic spaces over an algebraically closed field of characteristic zero. The proof uses the minimal model program, rather than reduction modulo $p$ and it even applies to spaces with kawamata log terminal singularities.

Information

Published: 1 January 2017
First available in Project Euclid: 23 October 2018

zbMATH: 1388.14059
MathSciNet: MR3791220

Digital Object Identifier: 10.2969/aspm/07410313

Subjects:
Primary: 14E30

Rights: Copyright © 2017 Mathematical Society of Japan

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