THE LOCAL-GLOBAL PRINCIPLE FOR INTEGRAL POINTS ON STACKY CURVES

被引：2

作者：

Bhargava, Manjul ^{[1
]}

Poonen, Bjorn ^{[2
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2022年 / 31卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1090/jag/796

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a stacky curve of genus 1/2 (i.e., Euler characteristic 1) over Z that has an R-point and a Zp-point for every prime p but no Z-point. This is best possible: we also prove that any stacky curve of genus less than 1/2 over a ring of S-integers of a global field satisfies the local-global principle for integral points.

引用

页码：773 / 782

页数：10

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