Torsion Points of order 2g+1 on odd degree hyperelliptic curves of genus g (original) (raw)

European Journal of Mathematics, 2022

Torsion points on elliptic curves over fields of higher degree

International Mathematics Research Notices, 1989

Characterization of the torsion of the Jacobians of two families of hyperelliptic curves

Tomek Jedrzejak

Acta Arithmetica 12/2013; 161(3):201-218.

Hyperelliptic Curves With Given A-number

Darren Glass

Arxiv preprint math.NT/0401008, 2004

Torsion points on elliptic curves

Bulletin of the American Mathematical Society, 1990

Rational Points on Certain Hyperelliptic Curves over Finite Fields

Maciej Ulas

Bulletin of the Polish Academy of Sciences Mathematics, 2007

Hyperelliptic curves with prescribed p-torsion

Darren Glass

manuscripta mathematica, 2005

Further results on the number of rational points of hyperelliptic supersingular curves in characteristic 2

Emrah Yılmaz

Designs, Codes and Cryptography, 2015

Halves of Points of an Odd Degree Hyperelliptic Curve in its Jacobian

Integrable Systems and Algebraic Geometry, 2020

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Izvestiya: Mathematics, 2019

A Remark on the Rank of Jacobians of Hyperelliptic Curves Over Q Over Certain Elementary Abelian 2-EXTENSIONS

Jaap Top

1988

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Michael Pohst

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2004

On the torsion of rational elliptic curves over quartic fields

Enrique Gonzalez Jimenez

Mathematics of Computation, 2017

The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point

Benedict Gross

2012

Division by 2 on hyperelliptic curves and jacobians

2016

Hyperelliptic curves in characteristic 2

Hui June Zhu

2000

On the torsion of the Jacobians of the hyperelliptic curves y^2=x^n+a and y^2=x(x^n+a)

Tomek Jedrzejak

Variations on twists of tuples of hyperelliptic curves and related results

Maciej Ulas

Journal of Number Theory, 2014

Torsion points on elliptic curves over all quadratic fields

Duke Mathematical Journal, 1986

On Torsion Points on an Elliptic Curves via Division Polynomials

Maciej Ulas

2005

On quadratic twists of hyperelliptic curves

Mohammad Sadek

Rocky Mountain Journal of Mathematics, 2014

A remark on torsion points of elliptic curves on small extensions of Q Tr^ a n Qu^ o c D^ an a and Nguy^ e~ n Qu^ o c Th a ng b y

hoang viet

From Separable Polynomials to Nonexistence of Rational Points on Certain Hyperelliptic Curves

Nguyen Viet Quan

Journal of the Australian Mathematical Society, 2014

Large torsion subgroups of split Jacobians of curves of genus two or three

Everett Howe

Forum Mathematicum, 2000

On the linear bounds on genera of pointless hyperelliptic curves

Ivan Pogildiakov

arXiv: Algebraic Geometry, 2017

Families of elliptic curves with rational torsion points of even order

Algebraic Curves and Their Applications, 2019

Torsion points on elliptic curves and q-coeffincients of modular forms

1992

Rational Points On Certain Abelian Varieties Over Function Fields

Sajad Salami

Journal of Number Theory, 1995

Isomorphism classes of elliptic and hyperelliptic curves over finite fields F(2g+1)n

YOUNGJU CHOIE

Finite Fields and Their Applications, 2004

Isogenies for Point Counting on Genus Two Hyperelliptic Curves with Maximal Real Multiplication

Jaap Top

Association for Women in Mathematics Series

Hyperelliptic jacobians without complex multiplication in positive characteristic

Mathematical Research Letters, 2001

Pencils of quadrics and the arithmetic of hyperelliptic curves

Benedict Gross, Xiaoheng Wang

2013

About the equivalence of divisor classes on hyperelliptic curves and a quotient of linear forms by an algebraic group action

Victor Gonzalo Lopez Neumann

2006

Concentration of points and isomorphism classes of hyperelliptic curves over a finite field in some thin families

Mei-chu Chang

The genus of curves over finite fields with many rational points

fernando torres

Manuscripta Mathematica, 1996