On contraction of algebraic points
Bull. Korean Math. Soc. 2017 Vol. 54, No. 5, 1577-1596
Published online July 26, 2017
Printed September 30, 2017
Fedor Bogomolov, Jin Qian
New York University, New York University
Abstract : We study contraction of points on $\mathbb{P}^1(\bar{\mathbb{Q}})$ with certain control on local ramification indices, with application to the unramified curve correspondence problem initiated by Bogomolov and Tschinkel.
Keywords : unramified correspondences, Abyhankar's lemma, contraction of points
MSC numbers : Primary 14H30; Secondary 11G32
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