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
Keywords:
algebraic spaces
,
bend and break
,
MMP
,
Rational curves
Rights: Copyright © 2017 Mathematical Society of Japan
