Artículo de revista
Le principe de Hasse pour les espaces homogènes: Réduction au cas des stabilisateurs finis
Fecha
2019Registro en:
Compositio Mathematica, Volumen 155, Issue 8, 2019, Pages 1568-1593
0010437X
10.1112/S0010437X19007395
Autor
Demarche, Cyril
Lucchini Arteche, Giancarlo
Institución
Resumen
For a large family of properties of homogeneous spaces, we prove that such a property holds for all homogeneous spaces of connected linear algebraic groups as soon as it holds for homogeneous spaces of SLn with finite stabilisers. As an example, we reduce to this particular case an important conjecture by Colliot-Thélène about the Brauer-Manin obstruction to the Hasse principle and to weak approximation. A recent work by Harpaz and Wittenberg proves that the main result also applies to the analogous conjecture (known as conjecture (E)) for zero-cycles on homogeneous spaces.