Stable maps and Chow groups
Copyright policy )Stable maps and Chow groups
According to the Bloch–Beilinson conjectures, an automorphism of a K3 surface X that acts as the identity on the transcendental lattice should act trivially on \operatorname{CH}^2(X) . We discuss this conjecture for symplectic involutions and prove it in one third of all cases. The main point is to use special elliptic K3 surfaces and stable maps to produce covering families of elliptic curves on the generic K3 surface that are invariant under the involution.
- University of Bonn Germany
Chow group, Mathematics - Algebraic Geometry, symplectic involution, Automorphisms of surfaces and higher-dimensional varieties, elliptic \(K3\) surfaces, FOS: Mathematics, \(K3\) surfaces and Enriques surfaces, stable maps, Algebraic Geometry (math.AG)
Chow group, Mathematics - Algebraic Geometry, symplectic involution, Automorphisms of surfaces and higher-dimensional varieties, elliptic \(K3\) surfaces, FOS: Mathematics, \(K3\) surfaces and Enriques surfaces, stable maps, Algebraic Geometry (math.AG)
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