Desingularization of quasi-excellent schemes in characteristic zero

• Autores: Michael Temkin
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 2, 2008, págs. 488-522
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.05.006
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• Resumen

  • Grothendieck proved in EGA IV that if any integral scheme of finite type over a locally noetherian scheme X admits a desingularization, then X is quasi-excellent, and conjectured that the converse is probably true. We prove this conjecture for noetherian schemes of characteristic zero. Namely, starting with the resolution of singularities for algebraic varieties of characteristic zero, we prove the resolution of singularities for noetherian quasi-excellent Q-schemes.