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Bull. Korean Math. Soc. 2017; 54(5): 1577-1596
Online first article July 26, 2017 Printed September 30, 2017
https://doi.org/10.4134/BKMS.b160680
Copyright © The Korean Mathematical Society.
On contraction of algebraic points
Fedor Bogomolov, Jin Qian
New York University, New York University
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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