Affine Circle Geometry over Quaternion Skew Fields
Hans Havlicek
TL;DR
This paper explores the properties of affine circle geometry derived from quaternion skew fields and their maximal commutative subfields, revealing new geometric structures and relationships.
Contribution
It introduces a novel affine circle geometry framework based on quaternion skew fields and their maximal commutative subfields.
Findings
New geometric structures identified
Relationships between quaternion fields and affine geometry established
Potential applications in algebraic geometry and related fields
Abstract
We investigate the a{\pm}ne circle geometry arising from a quaternion skew field and one of its maximal commutative subfields.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Geometric and Algebraic Topology · Mathematics and Applications