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arXiv · 2110.14745

Grothendieck-Serre Conjecture for Quasi-split Reductive Groups

Neeraj Deshmukh·Amit Hogadi·Suraj Yadav
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Abstract

We prove the Grothendieck-Serre conjecture for quasi-split reductive groups schemes. Our method involves reducing to the Borel subgroup in order to conclude the result from purity for tori and the structure theorem for unipotent radicals of parabolic subgroups in a reductive group.

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Neeraj Deshmukh, Amit Hogadi, Suraj Yadav. 2021-10-27. Grothendieck-Serre Conjecture for Quasi-split Reductive Groups. https://arxiv.org/abs/2110.14745

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