The non-symplectic index of supersingular K3 surfaces
Junmyeong Jang
TL;DR
This paper determines the non-symplectic index for all supersingular K3 surfaces over fields with characteristic p>3, providing a comprehensive classification in this setting.
Contribution
It offers the first complete calculation of the non-symplectic index for supersingular K3 surfaces in characteristic p>3.
Findings
Non-symplectic index values for all supersingular K3 surfaces are explicitly determined.
The results depend on the characteristic p and the surface's properties.
Provides a classification framework for supersingular K3 surfaces based on their non-symplectic index.
Abstract
In this paper, we found non-symplectic index of all supersingular K3 surfaces defined over a field of characteristic p>3.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Finite Group Theory Research