Modular Polynomials for Genus 2
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Publication:3091984
DOI10.1112/S1461157000001546zbMath1252.11051arXiv0804.1565OpenAlexW2964053020MaRDI QIDQ3091984
Reinier Bröker, Kristin E. Lauter
Publication date: 15 September 2011
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.1565
Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18)
Related Items (8)
A quasi-linear time algorithm for computing modular polynomials in dimension 2 ⋮ Hilbert modular polynomials ⋮ Genus 2 point counting over prime fields ⋮ Degree and height estimates for modular equations on PEL Shimura varieties ⋮ ON THE DISTRIBUTION OF ORDERS OF FROBENIUS ACTION ON ^-TORSION OF ABELIAN SURFACES ⋮ Curves, Jacobians, and cryptography ⋮ Computing the 2-adic canonical lift of genus 2 curves ⋮ Modular polynomials on Hilbert surfaces
Cites Work
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- Zur Theorie der Modulformen \(n\)-ten Grades. I
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- Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
- Genus 2 fields with degree 3 elliptic subfields
- Modular equations for hyperelliptic curves
- Handbook of Elliptic and Hyperelliptic Curve Cryptography
- On Siegel Modular Forms of Genus Two
- Computing Hilbert Class Polynomials
- The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
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