Publicação
Schur-Finiteness (and Bass-Finiteness) Conjecture for Quadric Fibrations and Families of Sextic du Val del Pezzo Surfaces
| dc.contributor.author | Tabuada, Gonçalo | |
| dc.contributor.institution | DM - Departamento de Matemática | |
| dc.contributor.institution | CMA - Centro de Matemática e Aplicações | |
| dc.contributor.pbl | EMS Press | |
| dc.date.accessioned | 2022-10-26T22:09:25Z | |
| dc.date.available | 2022-10-26T22:09:25Z | |
| dc.date.issued | 2020 | |
| dc.description | The author is grateful to Joseph Ayoub for useful e-mail exchanges concerning the Schur-finiteness conjecture, and to the anonymous referee for her/his comments and for suggesting Remark 10. The author also would like to thank the Hausdorff Institute for Mathematics (HIM) in Bonn for its hospitality. | |
| dc.description.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. | en |
| dc.description.version | publishersversion | |
| dc.description.version | published | |
| dc.format.extent | 16 | |
| dc.format.extent | 238845 | |
| dc.identifier.doi | 10.25537/dm.2020v25.2339-2354 | |
| dc.identifier.issn | 1431-0635 | |
| dc.identifier.other | PURE: 32702254 | |
| dc.identifier.other | PURE UUID: 96435152-ec70-4b64-936c-2dbd5330ca46 | |
| dc.identifier.other | Scopus: 85099564782 | |
| dc.identifier.uri | http://hdl.handle.net/10362/145059 | |
| dc.identifier.url | https://www.scopus.com/pages/publications/85099564782 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.relation | Funding Information: info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT | |
| dc.subject | Bass-finiteness | |
| dc.subject | conjecture | |
| dc.subject | du Val del Pezzo surfaces | |
| dc.subject | noncommutative algebraic geometry | |
| dc.subject | noncommutative mixed motives | |
| dc.subject | quadric fibrations | |
| dc.subject | Schur-finiteness conjecture | |
| dc.subject | General Mathematics | |
| dc.title | Schur-Finiteness (and Bass-Finiteness) Conjecture for Quadric Fibrations and Families of Sextic du Val del Pezzo Surfaces | en |
| dc.type | journal article | |
| degois.publication.firstPage | 2339 | |
| degois.publication.lastPage | 2354 | |
| degois.publication.title | Documenta Mathematica | |
| degois.publication.volume | 25 | |
| dspace.entity.type | Publication | |
| rcaap.rights | openAccess |
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