A differential Chevalley theorem

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dc.creatorRosen, Eric
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:11Z
dc.date.available2026-07-07T10:14:11Z
dc.descriptionWe prove a differential analog of a theorem of Chevalley on extending homomorphisms for rings with commuting derivations, generalizing a theorem of Kac. As a corollary, we establish that, under suitable hypotheses, the image of a differential scheme under a finite morphism is a constructible set. We also obtain a new algebraic characterization of differentially closed fields. We show that similar results hold for differentially closed fields that are saturated, in the sense of model theory. In characteristic p > 0, we obtain related results and establish a differential Nullstellensatz. Analogs of these theorems for difference fields are also considered.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0810.5486
dc.identifierhttp://arxiv.org/abs/0810.5486
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172795
dc.subjectAlgebraic Geometry
dc.subjectLogic
dc.subject12H05; 13L05
dc.titleA differential Chevalley theorem
dc.typetext

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