Bounding Tangencies of Sections on Elliptic Surfaces

Douglas Ulmer; Giancarlo Urzúa

doi:10.1093/imrn/rnaa222

Bounding Tangencies of Sections on Elliptic Surfaces

Douglas Ulmer, Giancarlo Urzúa

Mathematics

Research output: Contribution to journal › Article › peer-review

3 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 language	English (US)
Pages (from-to)	4768-4802
Number of pages	35
Journal	International Mathematics Research Notices
Volume	2021
Issue number	6
DOIs	https://doi.org/10.1093/imrn/rnaa222
State	Published - Mar 1 2021

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rnaa222

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title = "Bounding Tangencies of Sections on Elliptic Surfaces",

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.",

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year = "2021",

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doi = "10.1093/imrn/rnaa222",

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AU - Urzúa, Giancarlo

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Bounding Tangencies of Sections on Elliptic Surfaces

Abstract

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