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Quadratic Chabauty and 𝑝-adic Gross–Zagier - MaRDI portal

Quadratic Chabauty and 𝑝-adic Gross–Zagier (Q5888968)

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scientific article; zbMATH DE number 7678813

Language	Label	Description	Also known as
English	Quadratic Chabauty and 𝑝-adic Gross–Zagier	scientific article; zbMATH DE number 7678813

Statements

scholarly article

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Quadratic Chabauty and 𝑝-adic Gross–Zagier (English)

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Sachi Hashimoto

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Transactions of the American Mathematical Society

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publication date

26 April 2023

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full work available at URL

https://arxiv.org/abs/2206.08595

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Coleman-Gross height pairings and the \(p\)-adic sigma function

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

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Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves

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Computing integral points on hyperelliptic curves using quadratic Chabauty

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Quadratic Chabauty and rational points. I: \(p\)-adic heights

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Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties

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

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Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad

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\(p\)-adic \(L\)-functions and the coniveau filtration on Chow groups. With an appendix by Brian Conrad.

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Heidelberg Lectures on Coleman Integration

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Finiteness results for modular curves of genus at least 2

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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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A $p$-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties

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Torsion points on curves and p-adic abelian integrals

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The universal vectorial bi-extension and \(p\)-adic heights

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Computing the Degree of the Modular Parametrization of a Modular Elliptic Curve

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Quadratic Chabauty for modular curves and modular forms of rank one

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Computing Special Values of Motivic<i>L</i>-Functions

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Heegner points and derivatives of \(L\)-series. II

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Heegner points and derivatives of \(L\)-series

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The unipotent Albanese map and Selmer varieties for curves

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The \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes

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The \(\ell\)-component of the unipotent Albanese map

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Computation of \(p\)-adic heights and log convergence

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On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer

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Overconvergent Modular Symbols

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Points de Heegner et dérivées de fonctions L p-adiques. (Heegner points and derivatives of p-adic L-functions)

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Overconvergent modular symbols and $p$-adic $L$-functions

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Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer

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p-adic height pairings. I

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On some arithmetic properties of modular forms of one and several variables

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Nearly Overconvergent Modular Forms

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The canonical ring of a stacky curve

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Modular forms and differential operators

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Elliptic Modular Forms and Their Applications

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describes a project that uses

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MaRDI profile type

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/TRAN/8862

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Sitelinks

Mathematics(1 entry)

mardi Publication:5888968

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