Rational points in the moduli space of genus two
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Publication:4685915
DOI10.1090/conm/703/14132zbMath1398.11085arXiv1902.08279OpenAlexW2785867818MaRDI QIDQ4685915
Lubjana Beshaj, Saúl Quispe, Andreas Malmendier, Tanush Shaska, Serge G. Kruk, Rubén A. Hidalgo
Publication date: 9 October 2018
Published in: Higher Genus Curves in Mathematical Physics and Arithmetic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.08279
Elliptic curves over global fields (11G05) Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10) Computational aspects of algebraic curves (14Q05)
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Cites Work
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- Arithmetic variety of moduli for genus two
- Examples of CM curves of genus two defined over the reflex field
- A database of genus-2 curves over the rational numbers
- Algorithm for determining the type of a singular fiber in an elliptic pencil
- The arithmetic of genus two curves
- Theta functions and algebraic curves with automorphisms
- Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète
- Examples of genus two CM curves defined over the rationals
- On the Discriminant of a Hyperelliptic Curve
- On the reduction theory of binary forms
- Invariants of Binary Forms
- On Siegel Modular Forms of Genus Two
- Modular Forms and Projective Invariants
- Theta functions of superelliptic curves
- Reduction theory of binary forms
- Heights on algebraic curves
- Curves of genus 2 with \((N,N)\) decomposable Jacobians
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