Local-Global Principles for Constant Reductive Groups over Semi-Global Fields
نویسندگان
چکیده
We study local-global principles for torsors under reductive linear algebraic groups over semi-global fields; that is, one-variable function fields complete discretely valued fields. provide conditions on the group and field which principle holds, we compute obstruction to in certain classes of examples. Using our description obstruction, give first example a semisimple simply connected where fails. Our methods include patching R-equivalence.
منابع مشابه
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2022
ISSN: ['0026-2285', '1945-2365']
DOI: https://doi.org/10.1307/mmj/20217219