Weak approximation on del Pezzo surfaces of degree 1
| dc.creator | Várilly-Alvarado, Anthony | |
| dc.date | 2008-01-16 | |
| dc.date | 2009-01-08 | |
| dc.date.accessioned | 2026-07-07T12:26:52Z | |
| dc.date.available | 2026-07-07T12:26:52Z | |
| dc.description | We study del Pezzo surfaces of degree 1 of the form w^2 = z^3 + Ax^6 + By^6 in the weighted projective space P_k(1,1,2,3), where k is a perfect field of characteristic not 2 or 3 and A,B \in k^*. Over a number field, we exhibit an infinite family of (minimal) counterexamples to weak approximation amongst these surfaces, via a Brauer-Manin obstruction. | |
| dc.description | 20 pages, no figures, Latex. Introduction revised to highlight Theorem 3.3; typos corrected. Magma scripts included at end of sourcefile | |
| dc.identifier | https://arxiv.org/abs/0801.2430 | |
| dc.identifier | http://arxiv.org/abs/0801.2430 | |
| dc.identifier | Adv. Math. 219 (2008), 2123-2145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215020 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G05; 12G05 | |
| dc.title | Weak approximation on del Pezzo surfaces of degree 1 | |
| dc.type | text |