Zéro-cycles sur les espaces homogènes et problème de Galois inverse

@inproceedings{Harpaz2018ZrocyclesSL,
  title={Z{\'e}ro-cycles sur les espaces homog{\`e}nes et probl{\`e}me de Galois inverse},
  author={Yonatan Harpaz and Olivier Wittenberg},
  year={2018}
}
Let X be a smooth compactification of a homogeneous space of a linear algebraic group G over a number field k. We establish the conjecture of Colliot-Th\'el\`ene, Sansuc, Kato and Saito on the image of the Chow group of zero-cycles of X in the product of the same groups over all the completions of k. When G is semisimple and simply connected and the geometric stabiliser is finite and supersolvable, we show that rational points of X are dense in the Brauer-Manin set. For finite supersolvable… Expand
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