A bound on the primes of bad reduction for CM curves of genus 3

Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Rachel Newton, Ekin Özman, Marco Streng

Type: Article

Publication Date: 2020-03-04

Citations: 8

DOI: https://doi.org/10.1090/proc/14975

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+	Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication	2022	Bogdan Adrian Dina Sorina Ionica Jeroen Sijsling
+ PDF Chat	Modular invariants for genus 3 hyperelliptic curves	2019	Sorina Ionica Pınar Kılıçer Kristin Lauter Elisa Lorenzo García Adelina Mânzăţeanu Maike Massierer Christelle Vincent
+	On different expressions for invariants of hyperelliptic curves of genus 3	2019	Elisa Lorenzo García
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+ PDF Chat	Plane quartics over $\mathbb {Q}$ with complex multiplication	2018	Pınar Kılıçer Hugo Labrande Reynald Lercier Christophe Ritzenthaler Jeroen Sijsling Marco Streng
+ PDF Chat	Reduction type of smooth plane quartics	2021	Reynald Lercier Qing Liu Elisa Lorenzo García Christophe Ritzenthaler
+ PDF Chat	Determining the primes of bad reduction of cm curves of genus 3	2024	Sorina Ionica Pınar Kılıçer Kristin Lauter Elisa Lorenzo García Adelina Mânzăţeanu Christelle Vincent
+	The Complex Multiplication Method for Genus 3 Curves	2024	Sorina Ionica

Works Cited by This (21)

Action	Title	Year	Authors
+	Fibrés Tangents — Algebres De Lie	1970	M. Demazure
+	The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography	2006	Pierrick Gaudry Thomas Houtmann David Kohel Christophe Ritzenthaler Annegret Weng
+ PDF Chat	Lectures on the geometry of numbers	1990	K. Chandrasekharan
+	Algebraic geometry and arithmetic curves	2003	Qing Liu
+ PDF Chat	Examples of CM curves of genus two defined over the reflex field	2015	Florian Bouyer Marco Streng
+	Good Reduction of Abelian Varieties	1968	Jean-Pierre Serre John Tate
+ PDF Chat	An arithmetic intersection formula for denominators of Igusa class polynomials	2015	Kristin Lauter Bianca Viray
+	On the Graded Ring of Invariants of Binary Octavics	1967	Tetsuji Shioda
+ PDF Chat	Class Invariants for Quartic CM Fields	2007	Eyal Z. Goren Kristin Lauter
+ PDF Chat	Bad Reduction of Genus Three Curves with Complex Multiplication	2015	Irene I. Bouw Jenny Cooley Kristin Lauter Elisa Lorenzo García Michelle Manes Rachel Newton Ekin Özman