Weak approximation for del Pezzo surfaces of low degree
Algebraic Geometry
2023-05-08 v3 Number Theory
Abstract
We prove, via an "arithmetic surjectivity" approach inspired by work of Denef, that weak weak approximation holds for surfaces with two conic fibrations satisfying a general assumption. In particular, weak weak approximation holds for general del Pezzo surfaces of degrees or with a conic fibration.
Keywords
Cite
@article{arxiv.2111.11409,
title = {Weak approximation for del Pezzo surfaces of low degree},
author = {Julian Lawrence Demeio and Sam Streeter},
journal= {arXiv preprint arXiv:2111.11409},
year = {2023}
}
Comments
21 pages; minor edits; to appear in International Mathematics Research Notices