Bounding Tangencies of Sections on Elliptic Surfaces

Douglas Ulmer, Giancarlo Urzúa

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Given an elliptic surface E → C 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.

Original languageEnglish (US)
Pages (from-to)4768-4802
Number of pages35
JournalInternational Mathematics Research Notices
Volume2021
Issue number6
DOIs
StatePublished - Mar 1 2021

ASJC Scopus subject areas

  • Mathematics(all)

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