The local-global principle for integral points on stacky curves
نویسندگان
چکیده
We construct a stacky curve of genus 1 / 2 1/2 (i.e., Euler characteristic alttext="1"> encoding="application/x-tex">1 ) over alttext="double-struck upper Z"> Z encoding="application/x-tex">\mathbb {Z} that has an R"> mathvariant="double-struck">R {R} -point and Z Subscript p"> p {Z}_p for every prime alttext="p"> encoding="application/x-tex">p but no -point. This is best possible: we also prove any less than ring alttext="upper S"> S encoding="application/x-tex">S -integers global field satisfies the local-global principle integral points.
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2022
ISSN: ['1534-7486', '1056-3911']
DOI: https://doi.org/10.1090/jag/796