Automorphisms of two-dimensional quadrics

Key Points

• The aim is to determine the maximum values of the Jordan constant for automorphism groups of two-dimensional quadrics, linked to field arithmetic properties.
• Analyzing smooth rational two-dimensional quadrics over a field
• Examining the relationship between field arithmetic and the Jordan constant
• Utilizing mathematical proofs and comparisons
• Maximum values of the Jordan constant identified and categorized based on field properties
• Variability of the Jordan constant confirmed depending on arithmetic structures
• Findings enhance understanding of automorphic behaviors of quadrics