New examples of geometrically special varieties: K3 surfaces, Enriques surfaces, and algebraic groups

Puntos clave

• This research aims to verify the presence of rational points in elliptic K3 surfaces and algebraic groups over function fields.
• Verification of rational points in elliptic K3 surfaces and algebraic groups over function fields.
• Examination of the geometric specialness in the context of Javanpeykar–Rousseau.
• Analysis of specialness persistence under the removal of closed subsets with codimension at least two.
• Elliptic K3 surfaces and algebraic groups have many rational points over function fields.
• Geometric specialness remains under the specified conditions for closed subsets.