Differentials over differential fields

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dc.creatorRosen, Eric
dc.date2007-01-18
dc.date.accessioned2026-07-07T07:41:43Z
dc.date.available2026-07-07T07:41:43Z
dc.descriptionGiven an algebra $A$ over a differential field $K$, we study derivations on $A$ that are compatible with the derivation on $K$. There is a universal object, which is a twisted version of the usual module of differentials, and we establish some of its basic properties. In the context of differential algebraic geometry, one gets a sheaf of these $τ$-differentials which can be interpreted as certain natural functions on the prolongation of a variety, as studied by Buium. This sheaf corresponds to the Kodaira-Spencer class of the variety.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0701508
dc.identifierhttp://arxiv.org/abs/math/0701508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122214
dc.subjectCommutative Algebra
dc.subjectLogic
dc.subject12H05; 13N15
dc.titleDifferentials over differential fields
dc.typetext

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