Mixed characteristic homological theorems in low degrees

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dc.creatorSchoutens, Hans
dc.date2002-11-29
dc.date.accessioned2026-07-07T04:53:25Z
dc.date.available2026-07-07T04:53:25Z
dc.descriptionLet R be a locally finitely generated algebra over a discrete valuation ring V of mixed characteristic. For any of the homological properties, the Direct Summand Theorem, the Monomial Theorem, the Improved New Intersection Theorem, the Vanishing of Maps of Tors and the Hochster-Roberts Theorem, we show that it holds for R and possibly some other data defined over R, provided the residual characteristic of V is sufficiently large in terms of the complexity of the data, where the complexity is primarily given in terms of the degrees of the polynomials over V that define the data, but possibly also by some additional invariants.
dc.descriptionSurvey paper
dc.identifierhttps://arxiv.org/abs/math/0211466
dc.identifierhttp://arxiv.org/abs/math/0211466
dc.identifierC. R. Acad. Sci. Paris 336 (2003), 463-466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65840
dc.subjectCommutative Algebra
dc.subjectLogic
dc.subjectRings and Algebras
dc.subject13D22, 13A35, 03H05, 13L05
dc.titleMixed characteristic homological theorems in low degrees
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