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On the unirationality of del Pezzo surfaces of degree 2
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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
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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 | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of 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 | |||||||||
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| 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 | |||||||||
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