Realization of a certain class of semi-groups as value semi-groups of valuations

dc.creatorMoghaddam, M.
dc.date2008-05-27
dc.date.accessioned2026-07-07T09:41:05Z
dc.date.available2026-07-07T09:41:05Z
dc.descriptionGiven a well-ordered semi-group $Γ$ with a minimal system of generators of ordinal type at most $ωn$ and of rational rank $r$, which satisfies a positivity and increasing condition, we construct a zero-dimensional valuation centered on the ring of polynomials with $r$ variables such that the semi-group of the values of the polynomial ring is equal to $Γ$. The construction uses a generalization of Favre and Jonsson's version of MacLane's sequence of key-polynomials.
dc.descriptionTo be Published in BIMS
dc.identifierhttps://arxiv.org/abs/0805.4056
dc.identifierhttp://arxiv.org/abs/0805.4056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161704
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleRealization of a certain class of semi-groups as value semi-groups of valuations
dc.typetext

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