THE LOCAL-GLOBAL PRINCIPLE for INTEGRAL POINTS on STACKY CURVES

Manjul Bhargava, Bjorn Poonen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)773-782
Number of pages10
JournalJournal of Algebraic Geometry
Volume31
Issue number4
DOIs
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

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