Classification of one-class spinor genera for quaternary quadratic forms

DOI10.4064/aa180309-19-2zbMath1456.11040arXiv1803.03028OpenAlexW2975776398WikidataQ127204889 ScholiaQ127204889MaRDI QIDQ5237124

Anna Haensch, Andrew G. Earnest

Publication date: 16 October 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03028

zbMATH Keywords

genusquaternary quadratic formspinor genus

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Uses Software

• Magma
• SageMath
• LMFDB

Cites Work

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• Darstellungsmaße indefiniter quadratischer Formen
• Spinor norms of local integral rotations. II
• The Magma algebra system. I: The user language
• Factorization in quaternion orders
• Spinor norms of local integral rotations. I
• The thirty-nine systems of quaternions with a positive norm-form and satisfactory factorability
• COMPLETENESS OF THE LIST OF SPINOR REGULAR TERNARY QUADRATIC FORMS
• Low-dimensional lattices. IV. The mass formula
• The Spinor Genus of Quaternion Orders
• Spinor Genera Under Field Extensions, II: 2 Unramified in the Bottom Field
• One-class spinor genera of positive quadratic forms
• There are 913 regular ternary forms
• Single-class genera of positive integral lattices
• The Growth of Class Numbers of Quadratic Forms
• The Class-Number of a Positive Quadratic Form
• On Generalized Quaternions

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