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Cyclic Isogenies for Abelian Varieties with Real Multiplication - MaRDI portal

Cyclic Isogenies for Abelian Varieties with Real Multiplication (Q5047978)

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scientific article; zbMATH DE number 7618902

Language	Label	Description	Also known as
English	Cyclic Isogenies for Abelian Varieties with Real Multiplication	scientific article; zbMATH DE number 7618902

Statements

scholarly article

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Dimitar Jetchev

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publication date

17 November 2022

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full work available at URL

https://arxiv.org/abs/1710.05147

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http://www.mathjournals.org/mmj/2022-022-004/2022-022-004-003.html

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zbMATH Keywords

abelian varieties

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arithmetic geometry

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isogenies

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theta functions

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cryptography

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.NT

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Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication

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Isogeny graphs of ordinary abelian varieties

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Descent via (3,3)-isogeny on Jacobians of genus 2 curves

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Curves of genus two over fields of even characteristic

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Computing $(\ell ,\ell )$-isogenies in polynomial time on Jacobians of genus $2$ curves

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Computing functions on Jacobians and their quotients

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Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies

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On isogenous principally polarized abelian surfaces

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Weber's formula for the bitangents of a smooth plane quartic

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Descent via \((5, 5)\)-isogeny on Jacobians of genus 2 curves

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Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem

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Computing isogenies between abelian varieties

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A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties

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A quasi-linear time algorithm for computing modular polynomials in dimension 2

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Computing isogenies between Jacobians of curves of genus 2 and 3

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Modular polynomials on Hilbert surfaces

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On the equations defining Abelian varieties. I-III

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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Isogenies and the discrete logarithm problem in Jacobians of genus 3 hyperelliptic curves

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Translating the discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves with \((\ell ,\ell ,\ell)\)-isogenies

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Identifiers

zbMATH Open document ID

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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:5047978

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