Formal groups, supersingular abelian varieties and tame ramification

DOI10.1016/j.jalgebra.2011.03.010zbMath1230.14065arXiv0910.1212OpenAlexW2061671187MaRDI QIDQ652171

Sara Arias-de-Reyna

Publication date: 19 December 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1212

zbMATH Keywords

formal groupsupersingular Abelian varietytame ramification

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Ramification and extension theory (11S15) Formal groups, (p)-divisible groups (14L05)

Cites Work

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• Standard bases and some computations in rings of power series
• Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\)
• Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
• Standard bases in power series rings: Uniqueness and superfluous critical pairs
• Galois properties of points of finite order of elliptic curves
• Large torsion subgroups of split Jacobians of curves of genus two or three

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