Koblitz’s Conjecture for Abelian Varieties

DOI10.1007/978-3-319-70566-8_27zbMath1425.11125OpenAlexW2792900074MaRDI QIDQ4556595

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Publication date: 16 November 2018

Published in: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-70566-8_27

zbMATH Keywords

Galois representationsabelian varieties over finite fieldstorsion points of abelian varietiesgeneral symplectic group over a finite fieldSerre's open image theorem

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Galois representations (11F80) Distribution of primes (11N05)

Uses Software

• Magma
• LMFDB

Cites Work

• On the order of abelian varieties with trivial endomorphism ring reduced modulo a prime
• Notes on an analogue of the Fontaine-Mazur conjecture
• Primality of the number of points on an elliptic curve over a finite field
• The Magma algebra system. I: The user language
• A probabilistic approach to conjugacy classes in the finite symplectic and orthogonal groups
• On the order of CM abelian varieties over finite prime fields
• Conditional Convergence of Infinite Products
• On the order of abelian surfaces of cm-type over finite prime fields
• A REFINEMENT OF KOBLITZ'S CONJECTURE
• Some Remarks on Cohen-Lenstra Heuristics

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