Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings (Q2093676)

scientific article; zbMATH DE number 7608400

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English	Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings	scientific article; zbMATH DE number 7608400

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instance of

scholarly article

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title

Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings (English)

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Research in Number Theory

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publication date

27 October 2022

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full work available at URL

https://arxiv.org/abs/2203.05541

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describes a project that uses

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The vectorization of ITPACK 2C

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Rational points on $X^{+}_0(37M)$

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Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture

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Explicit Coleman Integration for Hyperelliptic Curves

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The Magma algebra system. I: The user language

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Quadratic Chabauty and rational points. I: $p$-adic heights

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Explicit Chabauty-Kim for the split Cartan modular curve of level 13

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Towers of 2-covers of hyperelliptic curves

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Hyperelliptic parametrizations of $\pmb{\mathbb{Q}}$-curves

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Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture

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Quadratic points on modular curves with infinite Mordell–Weil group

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Chabauty methods using elliptic curves

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Two-cover descent on hyperelliptic curves

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The Mordell–Weil sieve: proving non-existence of rational points on curves

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Explicit Coleman integration for curves

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Q3972987

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Torsion points on curves and p-adic abelian integrals

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Computing Special Values of MotivicL-Functions

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Q4672838

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Q4672839

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On the modularity of $\mathbb Q$-curves

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Rational Points on XO+(p)

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Rational points on $X^ +_ 0(N)$ and quadratic $\mathbb Q$-curves.

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Rational and elliptic parametrizations of $\mathbb Q$-curves

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Heegner points and derivatives of $L$-series

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Hyperelliptic modular curves $X*_0(N)$

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Modularity conjecture for $\mathbf Q$-curves and QM-curves.

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On the number of Q-isomorphism classes of elliptic curves in each Q- isogeny class

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Serre's conjecture and its consequences

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Q3351513

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The $\ell$-component of the unipotent Albanese map

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Serre's modularity conjecture. II

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Q4312295

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Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète

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Modular curves and the Eisenstein ideal

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Q3741712

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Rational points on the modular curves $X^ +_ 0(N)$

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Q4981689

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Q4316835

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The complete classification of fibres in pencils of curves of genus two

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Abelian varieties over Q and modular forms

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Independence of rational points on twists of a given curve

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Finite descent obstructions and rational points on curves

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Rational 6-Cycles Under Iteration of Quadratic Polynomials

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40993-022-00388-9

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Sitelinks

Mathematics(1 entry)

mardi Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings