Chow motives of genus one fibrations

DOI10.1007/s00229-024-01557-zMaRDI QIDQ6593267

Daiki Kawabe

Publication date: 26 August 2024

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

zbMATH Keywords

surfaceChow motive

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Algebraic cycles (14C25)

Cites Work

• Chow groups are finite dimensional, in some sense
• Enriques surfaces. I
• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• Motivic decomposition and intersection Chow groups. I.
• A family of cubic fourfolds with finite-dimensional motive
• Corrigendum to: ``Néron models, Lie algebras, and reduction of curves of genus one and the Brauer group of a surface
• A motivic global Torelli theorem for isogenous \(K3\) surfaces
• Explicit coverings of families of elliptic surfaces by squares of curves
• Motives of isogenous \(K3\) surfaces
• Remarks on motives of abelian type
• On the finite dimensionality of a \(K3\) surface
• On the Chow ring of certain rational cohomology tori
• Néron models of algebraic curves
• On fibrations whose geometric fibers are nonreduced
• Lectures on K3 Surfaces
• Principal Homogeneous Spaces Over Abelian Varieties
• On the motive of an algebraic surface.
• The Arithmetic of Elliptic Curves
• Algebraic Surfaces in Positive Characteristics
• Distinguished cycles on varieties with motive of abelian type and the Section Property
• Genus Change in Inseparable Extensions of Function Fields
• Algebraic surfaces. Transl. from the Romanian by V. Maşek
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