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Generalized Jacobians and explicit descents (Q5216732)

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scientific article; zbMATH DE number 7169747

Language	Label	Description	Also known as
English	Generalized Jacobians and explicit descents	scientific article; zbMATH DE number 7169747

Statements

scholarly article

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Generalized Jacobians and explicit descents (English)

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Mathematics of Computation

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publication date

18 February 2020

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full work available at URL

https://arxiv.org/abs/1601.06445

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zbMATH Keywords

explicit descents

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generalized Jacobians

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abelian coverings

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Riemann surfaces and spin structures

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The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point

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A positive proportion of locally soluble hyperelliptic curves over ℚ have no point over any odd degree extension

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Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits

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Notes on elliptic curves. I.

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The Brauer-Manin obstructions for homogeneous spaces with connected or abelian stabilizer.

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The Magma algebra system. I: The user language

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Some Quartic Curves with no Points in any Cubic Field

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GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3

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Two-cover descent on hyperelliptic curves

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Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.

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Period, index and potential \(\text Ш\)

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Classical invariants and 2-descent on elliptic curves

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Explicit n-descent on elliptic curves, I. Algebra

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Second $p$-descents on elliptic curves

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Explicit descent in the Picard group of a cyclic cover of the projective line

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Most binary forms come from a pencil of quadrics

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Improved rank bounds from 2-descent on hyperelliptic Jacobians

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Two torsion in the Brauer group of a hyperelliptic curve

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The Weil pairing and the Hilbert symbol

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Duality theorems for curves over p-adic fields

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Explicit 4-descents on an elliptic curve

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Self cup products and the theta characteristic torsor

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The Cassels-Tate pairing on polarized Abelian varieties

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A database of nonhyperelliptic genus-3 curves over \(\mathbb{Q}\)

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AND THE ARITHMETIC OF A FAMILY OF NON-HYPERELLIPTIC CURVES OF GENUS 3

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Maximal linear spaces contained in the base loci of pencils of quadrics

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Identifiers

zbMATH Open document ID

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10.1090/mcom/3491

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5216732

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