Hermitian forms of K3 type
Evgeny Mayanskiy
TL;DR
This paper classifies quadratic spaces over endomorphism fields of K3 surfaces, covering both totally real and CM cases, to deepen understanding of their geometric and algebraic structures.
Contribution
It provides a comprehensive classification of Hermitian forms of K3 type over various endomorphism fields, extending previous work in the area.
Findings
Classification of quadratic spaces over endomorphism fields of K3 surfaces
Analysis of totally real and CM cases
Framework for understanding Hermitian forms in K3 geometry
Abstract
We classify quadratic spaces over endomorphism fields of K3 surfaces. We consider both totally real and CM cases.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Berberine and alkaloids research