Sidon Sets in Algebraic Geometry

被引：0

作者：

Forey, Arthur ^{[1
]}

Fresan, Javier ^{[2
]}

Kowalski, Emmanuel ^{[3
]}

机构：

[1] Univ Lille, CNRS, UMR 8524, Lab Paul Painleve, F-59000 Lille, France

[2] Ecole Polytech, CMLS, F-91128 Palaiseau, France

[3] Swiss Fed Inst Technol, D MATH, Ramistr 101, CH-8092 Zurich, Switzerland

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 08期

基金：

瑞士国家科学基金会;

关键词：

ELLIPTIC-CURVES;

D O I：

10.1093/imrn/rnad169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We report new examples of Sidon sets in abelian groups arising from generalized Jacobians of curves, and discuss some of their properties with respect to size and structure.

引用

页码：6400 / 6421

页数：22

共 50 条

[1] SIDON SETS IN ALGEBRAIC GEOMETRY
Forey, Arthur
Fresán, Javier
Kowalski, Emmanuel
arXiv, 2023,
[2] Sidon Sets are Proportionally Sidon with Small Sidon Constants
Hare, Kathryn E.
Yang, Robert
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2019, 62 (04): : 798 - 809
[3] Graphs generated by Sidon sets and algebraic equations over finite fields
Le Anh Vinh
JOURNAL OF COMBINATORIAL THEORY SERIES B, 2013, 103 (06) : 651 - 657
[4] SIDON SETS WITH EXTREMAL SIDON CONSTANTS
GRAHAM, CC
RAMSEY, LT
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 83 (03) : 522 - 526
[5] SIDON SETS
ABBOTT, HL
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1990, 33 (03): : 335 - 341
[6] Stopping Sets of Algebraic Geometry Codes
Zhang, Jun
Fu, Fang-Wei
Wan, Daqing
IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (03) : 1488 - 1495
[7] Sumsets of Sidon sets
Ruzsa, IZ
ACTA ARITHMETICA, 1996, 77 (04) : 353 - 359
[8] ON THE STRUCTURE OF SIDON SETS
WILSON, DC
MONATSHEFTE FUR MATHEMATIK, 1986, 101 (01): : 67 - 74
[9] WEIGHTED SIDON SETS
SANDERS, JW
PACIFIC JOURNAL OF MATHEMATICS, 1976, 63 (01) : 255 - 279
[10] TOPOLOGICAL SIDON SETS
DECHAMPS.M
ANNALES DE L INSTITUT FOURIER, 1972, 22 (03) : 51 - 79

← 1 2 3 4 5 →