On the finite dimensionality of a \(K3\) surface

DOI10.1007/s00229-011-0483-4zbMath1278.14012arXiv1106.1115OpenAlexW2120365038MaRDI QIDQ2428549

Claudio Pedrini

Publication date: 26 April 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1115

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Algebraic cycles (14C25)

Related Items (23)

Motives and the Pfaffian–Grassmannian equivalence ⋮ Zero-cycles on Garbagnati surfaces ⋮ A family of \(K3\) surfaces having finite-dimensional motive ⋮ Motives of derived equivalent \(K3\) surfaces ⋮ Some desultory remarks concerning algebraic cycles and Calabi-Yau threefolds ⋮ On a multiplicative version of Bloch's conjecture ⋮ Some results on a conjecture of Voisin for surfaces of geometric genus one ⋮ A remark on the motive of the Fano variety of lines of a cubic ⋮ On the Chow groups of certain cubic fourfolds ⋮ Some cubics with finite-dimensional motive ⋮ Some elementary examples of quartics with finite-dimensional motive ⋮ Hyper-Kähler Varieties with a Motive of Abelian Type ⋮ SOME NEW EXAMPLES OF SMASH-NILPOTENT ALGEBRAIC CYCLES ⋮ A family of cubic fourfolds with finite-dimensional motive ⋮ Algebraic cycles and Verra fourfolds ⋮ The transcendental motive of a cubic fourfold ⋮ Algebraic cycles and Todorov surfaces ⋮ A short note on the weak Lefschetz property for Chow groups ⋮ Algebraic cycles and special Horikawa surfaces ⋮ Voisin's conjecture for zero-cycles on Calabi-Yau varieties and their mirrors ⋮ Algebraic cycles and very special cubic fourfolds ⋮ Distinguished cycles on varieties with motive of abelian type and the Section Property ⋮ On the motive of O’Grady’s ten-dimensional hyper-Kähler varieties

Cites Work

• On Fermat varieties
• Chow groups are finite dimensional, in some sense
• The modularity of \(K3\) surfaces with non-symplectic group actions
• Nikulin involutions on \(K3\) surfaces
• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• For an unconditional theory of motives
• Finite-dimensional motives and the conjectures of Beilinson and Murre
• Remarks on Correspondences and Algebraic Cycles
• Projective models of K3 surfaces with an even set
• ON CORRESPONDENCES BETWEEN K3 SURFACES
• AN ANALOGUE OF THE TORELLI THEOREM FOR KUMMER SURFACES OF JACOBIANS
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