Uniform bound for the effective Bogomolov conjecture

Xiao Lei Liu; Sheng Li Tan

doi:10.1016/j.crma.2017.01.003

Uniform bound for the effective Bogomolov conjecture

Xiao Lei Liu
, Sheng Li Tan

School of Mathematical Sciences

Dalian University of Technology

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

2 Scopus citations

Abstract

We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as O(g⁻³) as g tends to infinity.

Original language	English
Pages (from-to)	205-210
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	355
Issue number	2
DOIs	https://doi.org/10.1016/j.crma.2017.01.003
State	Published - 1 Feb 2017

Access to Document

10.1016/j.crma.2017.01.003

Cite this

@article{5585459cd4874e91b3a74b431e5d78ba,

title = "Uniform bound for the effective Bogomolov conjecture",

abstract = "We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as O(g−3) as g tends to infinity.",

author = "Liu, \{Xiao Lei\} and Tan, \{Sheng Li\}",

note = "Publisher Copyright: {\textcopyright} 2017 Acad{\'e}mie des sciences",

year = "2017",

month = feb,

day = "1",

doi = "10.1016/j.crma.2017.01.003",

language = "英语",

volume = "355",

pages = "205--210",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "2",

}

TY - JOUR

T1 - Uniform bound for the effective Bogomolov conjecture

AU - Liu, Xiao Lei

AU - Tan, Sheng Li

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as O(g−3) as g tends to infinity.

AB - We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as O(g−3) as g tends to infinity.

UR - https://www.scopus.com/pages/publications/85009787673

U2 - 10.1016/j.crma.2017.01.003

DO - 10.1016/j.crma.2017.01.003

M3 - 文章

AN - SCOPUS:85009787673

SN - 1631-073X

VL - 355

SP - 205

EP - 210

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 2

ER -

Uniform bound for the effective Bogomolov conjecture

Abstract

Access to Document

Other files and links

Cite this