Twists of non-hyperelliptic curves of genus 3
From MaRDI portal
Publication:3174679
DOI10.1142/S1793042118501075zbMath1404.11092arXiv1604.02410MaRDI QIDQ3174679
Publication date: 17 July 2018
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.02410
Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10) Special algebraic curves and curves of low genus (14H45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]
Related Items (5)
Computing twists of hyperelliptic curves ⋮ Experiments with Ceresa classes of cyclic Fermat quotients ⋮ Conductor and discriminant of Picard curves ⋮ Sato-Tate distributions of twists of the Fermat and the Klein quartics ⋮ Bielliptic smooth plane curves and quadratic points
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Twists of non-hyperelliptic curves
- Twists of genus three curves over finite fields
- Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
- The Magma algebra system. I: The user language
- Representations of \(G_k\)-groups and twists of the genus two curve \(y^2=x^5 - x\)
- Sato-Tate distributions of twists of \(y^2=x^5-x\) and \(y^2=x^6+1\)
- GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3
- Bad Reduction of Genus Three Curves with Complex Multiplication
- Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
- Sato-Tate groups of 𝑦²=𝑥⁸+𝑐 and 𝑦²=𝑥⁷-𝑐𝑥.
- The Field of Definition of a Variety
- Rational points on twists of X0(63)
- Sur la courbe modulaireXE(7)
This page was built for publication: Twists of non-hyperelliptic curves of genus 3
