2-torsion points on theta divisors-Reference-Cited by-同舟云学术

2-torsion points on theta divisors

Published:2019-11-04 Issue:19 Volume:2021 Page:14616-14628
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Pareschi Giuseppe¹,Salvati Manni Riccardo²

Affiliation:

1. Dipartimento di Matematica “Guido Castelnuovo”, Università di Roma “La Sapienza” Italy

2. Dipartimento di Matematica,Università di Tor Vergata Italy

Abstract

Abstract 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.

Funder

MIUR Excellence Department Project

Department of Mathematics

University of Rome Tor Vergata

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2021/19/14616/42269026/rnz282.pdf

Reference22 articles.

1. Torsion points on theta divisors;Auffarth;Proc. Amer. Math. Soc.,2017

2. Vanishing thetanulls on curves with involutions

3. Abelian Varieties Associated to Gaussian Lattices. A Celebration of Algebraic Geometry;Beauville,2013

4. Vector-valued modular forms and the Gauss map;Dalla Piazza;Documenta Mathematica,2017

5. C.R. Acad. Sci. Paris;Debarre;Annulation de Thetaconstantes Sur Les Variétés Abéliennes de Dimension Quatre,1987

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An analog of the Edwards model for Jacobians of genus 2 curves;Research in Number Theory;2024-03-25

2. Torsion points on theta divisors and semihomogeneous vector bundles;Algebra & Number Theory;2021-10-16