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Algebraic jet spaces and Zilber’s dichotomy in DCFA

dc.creatorBustamante Medina, Ronald F.
dc.date.accessioned2015-05-19T18:54:37Z
dc.date.available2015-05-19T18:54:37Z
dc.date.issued2010-04-16 00:00:00
dc.date.updated2015-05-19T18:54:37Z
dc.description.abstractThis is the first of two papers devoted to the proof of Zilber’s dichotomy for the case of difference-differential fields of characteristic zero. In this paper we use the techniques exposed in [9] to prove a weaker version of the dichotomy, more precisely, we prove the following: in DCFA the canonical base of a finite-dimensional type is internal to the fixed field of the field of constants. This will imply a weak version of Zilber’s dichotomy: a finite-dimensional type of SU-rank 1 is either 1-based or non-orthogonal to the fixed field of the field of constants.
dc.description.abstractEl presente es el primero de dos art´?culos dedicados a la demostraci´on de la dicotom´?a de Zilber para el caso de los camposdifernciales de diferencia de caracter´?stica cero. En ´este art´?culo utilizamoslas t´ecnicas desarrolladas en [9] para demostrar una versi´ond´ebil de la dicotom´?a: un tipo de dimensi´on finita y de rango SUigual a 1 es modular o no ortogonal al campo fijo del campo deconstantes.
dc.format.extent1-12
dc.identifier.citationhttp://revistas.ucr.ac.cr/index.php/matematica/article/view/308
dc.identifier.doi10.15517/rmta.v17i1.308
dc.identifier.issn
dc.identifier.urihttps://hdl.handle.net/10669/12966
dc.language.rfc3066es
dc.relation.ispartofRevista de Matemática: Teoría y Aplicaciones Vol. 17 Núm. 1 2010
dc.titleAlgebraic jet spaces and Zilber’s dichotomy in DCFA
dc.titleEspacios de jets algebraicos y la dicotomía de Zilber en DCFA
dc.typeartículo original

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