Codimension two integral points on some rationally connected threefolds are potentially dense

Autor:	McKinnon, David, Roth, Mike
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry 14G05 14GM22 11G35
Druh dokumentu:	Working Paper
Popis:	Let $V$ be a smooth, projective, rationally connected variety, defined over a number field $k$, and let $Z\subset V$ be a closed subset of codimension at least two. In this paper, for certain choices of $V$, we prove that the set of $Z$-integral points is potentially Zariski dense, in the sense that there is a finite extension $K$ of $k$ such that the set of points $P\in V(K)$ that are $Z$-integral is Zariski dense in $V$. This gives a positive answer to a question of Hassett and Tschinkel from 2001. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.04961 Zobrazit plný text záznamu View this record from Arxiv