Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

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

Tools
- Tools
+ Tools

Tabuada, Gonçalo (2020) Schur-finiteness (and bass-finiteness) conjecture for quadric fibrations and families of sextic du Val del Pezzo surfaces. Documenta Mathematica . pp. 2339-2354. 25. doi:10.25537/dm.2020v25.2339-2354

[img]
Preview
PDF
WRAP-Schur-finiteness-quadric-fibrations-families-sextic-2020.pdf - Published Version - Requires a PDF viewer.
Available under License Creative Commons Attribution 4.0.

Download (788Kb) | Preview
Official URL: https://doi.org/10.25537/dm.2020v25.2339-2354

Request Changes to record.

Abstract

Let Q→B be a quadric fibration and T→B a family of sextic du Val del Pezzo surfaces. Making use of the theory of noncommutative mixed motives, we establish a precise relation between the Schur-finiteness conjecture for Q, resp. for T, and the Schur-finiteness conjecture for B. As an application, we prove the Schur-finiteness conjecture for Q, resp. for T, when B is low-dimensional. Along the way, we obtain a proof of the Schur-finiteness conjecture for smooth complete intersections of two or three quadric hypersurfaces. Finally, we prove similar results for the Bass-finiteness conjecture.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Schur functions, Quadrics, Surfaces, Algebraic, Noncommutative algebras
Journal or Publication Title: Documenta Mathematica
Publisher: Deutsche Mathematiker Vereinigung
ISSN: 1431-0643
Official Date: 25 December 2020
Dates:
DateEvent
25 December 2020Published
24 December 2020Accepted
Page Range: pp. 2339-2354
Article Number: 25
DOI: 10.25537/dm.2020v25.2339-2354
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UIDB/00297/2020 Fundação para a Ciência e a tecnologiahttp://viaf.org/viaf/148753396

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us