Un théorème de l'application ouverte sur les corps valués algébriquement clos

• Autores: Laurent Moret-Bailly
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 111, Nº 2, 2012, págs. 161-168
• Idioma: francés
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• Resumen

  • Let K be an algebraically closed field with a nontrivial absolute value, and let f:X→Y be a morphism of K-schemes of finite type. We show that f is universally open if and only if the induced map on K-rational points is open for the topologies deduced from the absolute value.