2-torsion points on theta divisors

被引：1

作者：

Pareschi, Giuseppe ^{[2
]}

Manni, Riccardo Salvati ^{[1
]}

机构：

[1] Univ Tor Vergata, Dipartimento Matemat, Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, Rome, Italy

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 19期

关键词：

CURVES;

D O I：

10.1093/imrn/rnz282

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we prove a sharp bound for the number of 2-torsion points on a theta divisor and show that this is achieved only in the case of products of elliptic curves. This settles in the affirmative a conjecture of Marcucci and Pirola.

引用

页码：14616 / 14628

页数：13

共 50 条

[21] NON-IMMERSION OF LENS SPACES WITH 2-TORSION
BERRICK, AJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 224 (02) : 399 - 405
[22] THETA FUNCTIONS AND TORSION POINTS OF ABELIAN-VARIETIES
DAVID, S
COMPOSITIO MATHEMATICA, 1991, 78 (02) : 121 - 160
[23] Torsion points on a theta divisor in the Jacobian of a Fermat quotient
Simon, Bret
1600,
[24] CURVES IN CHARACTERISTIC 2 WITH NON-TRIVIAL 2-TORSION
Castryck, Wouter
Streng, Marco
Testa, Damian
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2014, 8 (04) : 479 - 495
[25] GLUING CURVES OF GENUS 1 AND 2 ALONG THEIR 2-TORSION
Hanselman, Jeroen
Schiavone, Sam
Sijsling, Jeroen
MATHEMATICS OF COMPUTATION, 2021, 90 (331) : 2333 - 2379
[26] Optimized CSIDH Implementation Using a 2-Torsion Point
Heo, Donghoe
Kim, Suhri
Yoon, Kisoon
Park, Young-Ho
Hong, Seokhie
CRYPTOGRAPHY, 2020, 4 (03) : 1 - 13
[27] An SO(3)-Version of 2-Torsion Instanton Invariants
Sasahira, Hirofumi
JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2008, 15 (02): : 257 - 289
[28] A COMPUTATIONAL APPROACH TO THE 2-TORSION STRUCTURE OF ABELIAN THREEFOLDS
Cullinan, John
MATHEMATICS OF COMPUTATION, 2009, 78 (267) : 1825 - 1836
[29] On Kummer Lines with Full Rational 2-torsion and Their Usage in Cryptography
Hisil, Huseyin
Renes, Joost
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2019, 45 (04):
[30] Genus 2 curves and generalized theta divisors
Brivio, Sonia
Favale, Filippo F.
BULLETIN DES SCIENCES MATHEMATIQUES, 2019, 155 : 112 - 140

← 1 2 3 4 5 →