Schur-finiteness (and Bass-finiteness) conjecture for quadric fibrations and families of sextic du Val del Pezzo surfaces

DOI10.25537/dm.2020v25.2339-2354zbMath1460.14007arXiv1708.05382OpenAlexW3186866002MaRDI QIDQ828112

Gonçalo Tabuada

Publication date: 14 January 2021

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

Full work available at URL: https://arxiv.org/abs/1708.05382

zbMATH Keywords

noncommutative algebraic geometrynoncommutative mixed motivesBass-finiteness conjecturedu Val del Pezzo surfacesquadric fibrationsSchur-finiteness conjecture

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Fibrations, degenerations in algebraic geometry (14D06) (Equivariant) Chow groups and rings; motives (14C15)

Related Items

Noncommutative counterparts of celebrated conjectures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Voevodsky's mixed motives versus Kontsevich's noncommutative mixed motives
• Chow groups are finite dimensional, in some sense
• Finite-dimensional objects in distinguished triangles
• Derived categories of quadric fibrations and intersections of quadrics
• Higher \(K\)-theory via universal invariants
• The motif of an Abelian variety
• Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern
• Additive invariants of orbifolds
• Schur functors and motives
• Finite-dimensional motives and the conjectures of Beilinson and Murre
• Algebraic cycles and fibrations
• Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems
• Bloch's conjecture for Catanese and Barlow surfaces
• On the cohomology and K-theory of the general linear groups over a finite field
• Noncommutative Motives
• Using stacks to impose tangency conditions on curves
• Gromov-Witten theory of Deligne-Mumford stacks
• Notes on Motives in Finite Characteristic
• Uniqueness of enhancement for triangulated categories
• Recent developments on noncommutative motives
• Noncommutative motives of Azumaya algebras
• The special McKay correspondence and exceptional collections
• Motives of quadric bundles

This page was built for publication: Schur-finiteness (and Bass-finiteness) conjecture for quadric fibrations and families of sextic du Val del Pezzo surfaces