Bounding tangencies of sections on elliptic surfaces

2020/02/05 by Ulmer, Douglas, Urzúa, Giancarlo · 1 citation
#14J2 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Primary 14J27 #Secondary 11B39

paper · doi:10.48550/arxiv.2002.01906

Abstract

Given an elliptic surface E\toC over a field k of characteristic zero equipped with zero section O and another section P of infinite order, we give a simple and explicit upper bound on the number of points where O is tangent to a multiple of P.

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