The group law on the jacobian of a curve of genus 2

The group law on the jacobian of a curve of genus 2

Show other versions (1)

An explicit description is given of the group law on the Jacobian of a curve C of genus 2. The Kummer surface provides a useful intermediary stage; bilinear forms relating to the Kummer surface imply that the global group law may be given projectively by biquadratic forms defined over the same ring...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Flynn, E
Fformat:	Journal article
Cyhoeddwyd:	1993

Eitemau Tebyg

THE GROUP LAW ON THE JACOBIAN OF A CURVE OF GENUS-2
gan: Flynn, E
Cyhoeddwyd: (1993)

The jacobian and formal group of a curve of genus 2 over an arbitrary ground field
gan: Flynn, E
Cyhoeddwyd: (1990)

THE JACOBIAN AND FORMAL GROUP OF A CURVE OF GENUS-2 OVER AN ARBITRARY GROUND FIELD
gan: Flynn, E
Cyhoeddwyd: (1990)

An analog of the Edwards model for Jacobians of genus 2 curves
gan: Flynn, EV, et al.
Cyhoeddwyd: (2024)

Two-coverings of Jacobians of curves of genus two
gan: Flynn, E, et al.
Cyhoeddwyd: (2009)

Canonical heights on the Jacobians of curves of genus 2 and the infinite descent
gan: Flynn, E, et al.
Cyhoeddwyd: (1997)

Canonical heights on the jacobians of curves of genus 2 and the infinite descent
gan: Flynn, E, et al.
Cyhoeddwyd: (1997)

Nontrivial Sha in the Jacobian of an Infinite Family of Curves of Genus 2.
gan: Arnth-Jensen, A, et al.
Cyhoeddwyd: (2009)

Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves.
gan: Flynn, E, et al.
Cyhoeddwyd: (2001)

Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular jacobians of genus 2 curves
gan: Flynn, E, et al.
Cyhoeddwyd: (2001)

Solving Diophantine problems on curves via descent on the jacobian
gan: Flynn, E
Cyhoeddwyd: (1995)

Descent methods and torsion on Jacobians of higher genus curves
gan: Nicholls, C
Cyhoeddwyd: (2018)

Curves and their Jacobians/
gan: 361413 Mumford, David
Cyhoeddwyd: (1975)

A Curve and its Abstract Jacobian
gan: Zilber, B
Cyhoeddwyd: (2014)

Exhibiting SHA[2] on hyperelliptic Jacobians
gan: Bruin, N, et al.
Cyhoeddwyd: (2006)

Exhibiting Sha[2] on hyperelliptic jacobians
gan: Bruin, N, et al.
Cyhoeddwyd: (2006)

Exhibiting Sha[2] on hyperelliptic jacobians
gan: Bruin, N, et al.
Cyhoeddwyd: (2006)

Shimura subgroups of Jacobians of Shimura curves
gan: Ling, San
Cyhoeddwyd: (2012)

Selmer varieties for curves with CM Jacobians
gan: Coates, J, et al.
Cyhoeddwyd: (2010)

Selmer varieties for curves with CM Jacobians
gan: Coates, J, et al.
Cyhoeddwyd: (2008)

Compactified Jacobians of integral curves with double points
gan: Gagné, Mathieu
Cyhoeddwyd: (2008)

The Jacobian of modular curves associated to Cartan subgroups
gan: Chen, I
Cyhoeddwyd: (1996)

Orbifold points on Teichmüller curves and Jacobians with complex multiplication
gan: Mukamel, Ronen E. (Ronen Eliahu)
Cyhoeddwyd: (2011)

Coverings of curves of genus 2
gan: Flynn, E
Cyhoeddwyd: (2000)

Coverings of Curves of Genus 2.
gan: Flynn, E
Cyhoeddwyd: (2000)

Explicit division and torsion points on superelliptic Curves and jacobians
gan: Arul, Vishal.
Cyhoeddwyd: (2020)

Maps between Jacobians of Shimura curves and congruence kernels
gan: Khare, Chandrashekhar, et al.
Cyhoeddwyd: (2013)

Congruences between cusp forms and the geometry of Jacobians of modular curves
gan: Ling, San
Cyhoeddwyd: (2013)

Realization of Groups with Pairing as Jacobians of Finite Graphs
gan: Gaudet, Louis, et al.
Cyhoeddwyd: (2021)

Finding rational points on bielliptic genus 2 curves
gan: Flynn, E, et al.
Cyhoeddwyd: (1999)

Finding rational points on bielliptic genus 2 curves
gan: Flynn, E, et al.
Cyhoeddwyd: (1999)

Symmetric Jacobians
gan: Bondt Michiel
Cyhoeddwyd: (2014-06-01)

Genus two curves with full √3-level structure and Tate-Shafarevich groups
gan: Bruin, N, et al.
Cyhoeddwyd: (2023)

Cycles of quadratic polynomials and rational points on a genus 2 curve
gan: Flynn, E, et al.
Cyhoeddwyd: (1997)

Jacobians of Noncommutative Motives
gan: Trigo Neri Tabuada, Goncalo Jo, et al.
Cyhoeddwyd: (2015)

Regularity of Jacobians by subdeterminants
gan: Anna Verde
Cyhoeddwyd: (2004-01-01)

THE JACOBIAN CONJECTURE IS TRUE
gan: Kerimbayev Rashid Konyrbayevich
Cyhoeddwyd: (2017-05-01)

Tropicalization of the universal Jacobian
gan: Margarida Melo, et al.
Cyhoeddwyd: (2022-08-01)

Jacobian-free diagonal Newton's method for solving nonlinear systems with singular Jacobian
gan: Yusuf, Mohammed Waziri, et al.
Cyhoeddwyd: (2011)

From Semi-Orthogonal Decompositions to Polarized Intermediate Jacobians Via Jacobians of Noncommutative Motives
gan: Bernardara, Marcello, et al.
Cyhoeddwyd: (2017)