The Library
Stable rationality of quadric and cubic surface bundle fourfolds
Tools
Tools
Tools
Auel, Asher, Boehning, Christian and Pirutka, Alena (2018) Stable rationality of quadric and cubic surface bundle fourfolds. European Journal of Mathematics, 4 . pp. 732-760. doi:10.1007/s40879-018-0233-1 ISSN 2199-675X.
|
PDF
WRAP-stable-rationality-quadric-cubic-surface-bundle-Bohning-2018.pdf - Accepted Version - Requires a PDF viewer. Download (871Kb) | Preview |
Official URL: https://doi.org/10.1007/s40879-018-0233-1
Abstract
We study the stable rationality problem for quadric and cubic surface bundles over surfaces from the point of view of the specialization method for the Chow group of 0-cycles. Our main result is that a very general hypersurface X of bidegree (2,3) in P2×P3 is not stably rational. Via projections onto the two factors, X→P2 is a cubic surface bundle and X→P3 is a conic bundle, and we analyze the stable rationality problem from both these points of view. Also, we introduce, for any n ≥ 4, new quadric surface bundle fourfolds Xn→P2 with discriminant curve Dn⊂P2 of degree 2n, such that Xn has nontrivial unramified Brauer group and admits a universally CH0-trivial resolution.
| Item Type: | Journal Article | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Surfaces, Cubic, Hypersurfaces | ||||||||||||
| Journal or Publication Title: | European Journal of Mathematics | ||||||||||||
| Publisher: | Springer | ||||||||||||
| ISSN: | 2199-675X | ||||||||||||
| Official Date: | September 2018 | ||||||||||||
| Dates: |
|
||||||||||||
| Volume: | 4 | ||||||||||||
| Page Range: | pp. 732-760 | ||||||||||||
| DOI: | 10.1007/s40879-018-0233-1 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Date of first compliant deposit: | 14 March 2018 | ||||||||||||
| Date of first compliant Open Access: | 4 April 2019 | ||||||||||||
| RIOXX Funder/Project Grant: |
|
||||||||||||
| Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
