An Explicit Abelian Surface with Maximal Galois Action

DOI10.1080/10586458.2019.1691087zbMath1497.11168arXiv1804.00032OpenAlexW2991503564WikidataQ126804460 ScholiaQ126804460MaRDI QIDQ5094502

Aaron Landesman, Quinn Greicius

Publication date: 3 August 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00032

zbMATH Keywords

abelian varietieshyperelliptic curvesGalois representations

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Cites Work

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• Surjectivity criteria for \(p\)-adic representations. I.
• Big symplectic or orthogonal monodromy modulo \(\ell\)
• Galois properties of points of finite order of elliptic curves
• Elliptic Curves with Surjective Adelic Galois Representations
• Explicit Determination of the Images of the Galois Representations Attached to Abelian Surfaces with End(A) = Z

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