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

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

5 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
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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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.",

author = "Douglas Ulmer and Giancarlo Urz{\'u}a",

year = "2021",

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doi = "10.1093/imrn/rnaa222",

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journal = "International Mathematics Research Notices",

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AU - Urzúa, Giancarlo

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AB - 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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U2 - 10.1093/imrn/rnaa222

DO - 10.1093/imrn/rnaa222

M3 - Article

AN - SCOPUS:85118479050

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EP - 4802

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 6

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Bounding Tangencies of Sections on Elliptic Surfaces

Abstract

ASJC Scopus subject areas

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