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Sato-Tate distributions of Catalan curves (Q6159581)

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scientific article; zbMATH DE number 7682955

Language	Label	Description	Also known as
English	Sato-Tate distributions of Catalan curves	scientific article; zbMATH DE number 7682955

Statements

scholarly article

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Sato-Tate distributions of Catalan curves (English)

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10.5802/jtnb.1238

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Journal de Théorie des Nombres de Bordeaux

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publication date

8 May 2023

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full work available at URL

https://arxiv.org/abs/2109.07417

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Sato-Tate groups

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Sato-Tate distributions

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Jacobian varieties

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endomorphism algebras

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MaRDI profile type

MaRDI publication profile

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The Hodge conjecture for the Jacobian varieties of generalized Catalan curves

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The twisting Sato-Tate group of the curve \(y^2 = x^{8} - 14x^4 + 1\)

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On Galois representations for abelian varieties with complex and real multiplications.

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An algebraic Sato-Tate group and Sato-Tate conjecture

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A family of Calabi-Yau varieties and potential automorphy. II.

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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Arithmetic invariants from Sato-Tate moments

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Sato-Tate distributions of \(y^2=x^p-1\) and \(y^2=x^{2p}-1\)

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Frobenius Distribution for Quotients of Fermat Curves of Prime Exponent

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Sato–Tate distributions and Galois endomorphism modules in genus 2

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Sato–Tate groups of abelian threefolds: a preview of the classification

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Sato-Tate distributions of twists of the Fermat and the Klein quartics

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Sato-Tate distributions of twists of \(y^2=x^5-x\) and \(y^2=x^6+1\)

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Sato-Tate groups of 𝑦²=𝑥⁸+𝑐 and 𝑦²=𝑥⁷-𝑐𝑥.

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A family of Calabi-Yau varieties and potential automorphy

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Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time

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Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time, II

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Algebraic cycles on nonsimple abelian varieties

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On the Sato-Tate conjecture for non-generic abelian surfaces

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The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fité)

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Primary cyclotomic units and a proof of Catalans conjecture

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Exceptional Hodge classes on certain abelian varieties

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Algebraic cycles on abelian varieties of complex multiplication type

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Algebraic cycles on Abelian varieties of Fermat type

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Sato-Tate distributions

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II

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Mathematics(1 entry)

mardi Publication:6159581

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