The Library
On the unirationality of del Pezzo surfaces of degree 2
Tools
Salgado, Cecília, Testa, Damiano and Várilly-Alvarado, Anthony (2014) On the unirationality of del Pezzo surfaces of degree 2. Journal of the London Mathematical Society, 90 (1). pp. 121-139. doi:10.1112/jlms/jdu014 ISSN 1461-1570.
PDF
Salgado_et_al-2014-Journal_of_the_London_Mathematical_Society.pdf - Published Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (237Kb) |
Official URL: https://doi.org/10.1112/jlms/jdu014
Abstract
Among geometrically rational surfaces, del Pezzo surfaces of degree two over a field k containing at least one point are arguably the simplest that are not known to be unirational over k. Looking for k-rational curves on these surfaces, we extend some earlier work of Manin on this subject. We then focus on the case where k is a finite field, where we show that all except possibly three explicit del Pezzo surfaces of degree two are unirational over k.
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, Algebraic , Geometry, Algebraic , Finite groups | |||||||||
Journal or Publication Title: | Journal of the London Mathematical Society | |||||||||
Publisher: | London Mathematical Society | |||||||||
ISSN: | 1461-1570 | |||||||||
Official Date: | 1 August 2014 | |||||||||
Dates: |
|
|||||||||
Volume: | 90 | |||||||||
Number: | 1 | |||||||||
Page Range: | pp. 121-139 | |||||||||
DOI: | 10.1112/jlms/jdu014 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 13 July 2018 | |||||||||
RIOXX Funder/Project Grant: |
|
|||||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |