Computing the Cassels-Tate pairing on the 2-Selmer group of a genus 2 Jacobian

Tom Fisher, Jiali Yan

Type: Preprint

Publication Date: 2023-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.2306.06011

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Computing the Cassels-Tate Pairing for Genus Two Jacobians with Rational Two Torsion Points	2021	Jiali Yan
+ PDF Chat	Computing the Cassels–Tate pairing for genus two jacobians with rational two-torsion points	2024	Jiali Yan
+ PDF Chat	Computing the Cassels-Tate Pairing on the Selmer group of a Richelot Isogeny	2024	Jiali Yan
+ PDF Chat	Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve	2014	Tom Fisher Rachel Newton
+	Computing the Cassels-Tate pairing on the 3-Selmer group of an elliptic curve	2013	Tom Fisher Rachel Newton
+	Computing the Cassels-Tate pairing on the 3-Selmer group of an elliptic curve	2013	Tom Fisher Rachel Newton
+	Computing the Cassels-Tate Pairing for Jacobian Varieties of Genus Two Curves	2021	Jiali Yan
+	Computing the Cassels-Tate Pairing in the Case of a Richelot Isogeny	2021	Jiali Yan
+	Pairing-based algorithms for jacobians of genus 2 curves with maximal endomorphism ring.	2012	Sorina Ionica
+	The Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2	1999	Peter R. Bending
+	Explicit two-cover descent for genus 2 curves	2020	Daniel Rayor Hast
+	Explicit two-cover descent for genus 2 curves	2022	Daniel Rayor Hast
+	Pairing-based algorithms for jacobians of genus 2 curves with maximal endomorphism ring	2013	Sorina Ionica
+	Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves	2001	E. V. Flynn Franck Leprévost Edward F. Schaefer William Stein Michael Stoll Joseph L. Wetherell
+	Rational points on rank 2 genus 2 bielliptic curves in the LMFDB	2022	Francesca Bianchi Oana Padurariu
+	Descent methods and torsion on Jacobians of higher genus curves	2018	Christopher Nicholls
+	Gluing curves of genus 1 and 2 along their 2-torsion	2020	Jeroen Hanselman Sam Schiavone Jeroen Sijsling
+	Gluing curves of genus 1 and 2 along their 2-torsion	2020	Jeroen Hanselman Sam Schiavone Jeroen Sijsling
+ PDF Chat	Computing low-degree isogenies in genus 2 with the Dolgachev–Lehavi method	2012	Benjamin Smith
+	Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method	2011	Benjamin Smith

Works That Cite This (1)

Action	Title	Year	Authors
+	A threefold violating a local-to-global principle for rationality	2024	Sarah Frei Lena Ji

Works Cited by This (0)

Action	Title	Year	Authors