On Contraction of Algebraic Points

2016/07/06 by Bogomolov, Fedor, Qian, Jin
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1607.01832

Abstract

We study contraction of points on ℙ¹(ℚ) with certain control on local ramification indices, with application to the unramified curve correspondences problem initiated by Bogomolov and Tschinkel.

Related

• Unramified correspondences
• Contraction algebra and invariants of singularities
• The derived contraction algebra
• Counting algebraic points of bounded degree on curves
• Contracting low degree points on curves