Zero-cycles and the Cayley-Oguiso automorphism

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

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On the motive of some hyperKähler varieties
Memoir on quartic surfaces.
Isomorphic quartic \(K3\) surfaces in the view of Cremona and projective transformations
Bloch's conjecture for certain hyperkähler fourfolds
The torsion of the group of 0-cycles modulo rational equivalence
Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
Symplectic involutions of \(K3\) surfaces act trivially on \(\mathrm{CH}_0\)
Symplectic automorphisms of \(K3\) surfaces of arbitrary finite order
The Cayley-Oguiso automorphism of positive entropy on a \(K3\) surface
The cubo-cubic transformation and \(K3\) surfaces
Hyperkähler manifolds from the Tits -- Freudenthal magic square
The generalized Franchetta conjecture for some hyper-Kähler varieties. II
Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type
Some examples of \(K3\) surfaces with infinite automorphism group which preserves an elliptic pencil
The generalized Franchetta conjecture for some hyper-Kähler varieties
\(K3\) surfaces with Picard number 2, Salem polynomials and Pell equation
On the automorphisms of hypersurfaces
Action of correspondences on filtrations on cohomology and 0-cycles of abelian varieties
Algebraic cycles and Beauville's involution
Remarks And Questions On Coisotropic Subvarieties and 0-Cycles of Hyper-Kähler Varieties
Free automorphisms of positive entropy on smooth K\"ahler surfaces
Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2
ORBIT PARAMETRIZATIONS FOR K3 SURFACES
The octonions
On the Chow ring of a K3 surface
Some aspects of explicit birational geometry inspired by complex dynamics
Chow Rings, Decomposition of the Diagonal, and the Topology of Families
Zero-cycles on double EPW sextics
Determinantal hypersurfaces.
Automorphisms of some \(K3\) surfaces and Beauville involutions of their Hilbert schemes

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