Desingularization of quasi-excellent schemes in characteristic zero

dc.creatorTemkin, Michael
dc.date2007-03-22
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:02:05Z
dc.date.available2026-07-07T10:02:05Z
dc.descriptionGrothendieck 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.
dc.description35 pages, revised version
dc.identifierhttps://arxiv.org/abs/math/0703678
dc.identifierhttp://arxiv.org/abs/math/0703678
dc.identifierAdvances in Mathematics 219 (2008), pp. 488-522
dc.identifierdoi:10.1016/j.aim.2008.05.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168851
dc.subjectAlgebraic Geometry
dc.titleDesingularization of quasi-excellent schemes in characteristic zero
dc.typetext

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