Selectivity in definite quaternion algebras

DOI10.1016/j.jnt.2017.09.009zbMath1405.11147OpenAlexW2761489304MaRDI QIDQ1686181

Patricio Quiroz

Publication date: 21 December 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.09.009

zbMATH Keywords

quadratic formsquaternion algebraslocal densitiessupersingular elliptic curvesselectivityquaternion orders

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Selectivity in quaternion algebras
• Small isospectral and nonisometric orbifolds of dimension 2 and 3
• Ternary quadratic forms over number fields with small class number
• CM liftings of supersingular elliptic curves
• Arithmétique des algèbres de quaternions
• An explicit formula for local densities of quadratic forms
• An embedding theorem for Eichler orders
• Applications of spinor class fields: embeddings of orders and quaternionic lattices.
• Exceptional integers for genera of integral ternary positive definite quadratic forms
• Selective orders in central simple algebras and isospectral families of arithmetic manifolds
• EICHLER ORDERS, TREES AND REPRESENTATION FIELDS
• Constructing supersingular elliptic curves with a given endomorphism ring
• Roots of unity in definite quaternion orders
• An Embedding Theorem for Quaternion Algebras
• On representations of spinor genera
• Type numbers of Eichler orders.
• Number fields

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