Local Gröbner fan: polyhedral and computational approach

Simple item page
dc.creatorBahloul, Rouchdi
dc.creatorTakayama, Nobuki
dc.date2004-12-02
dc.date2006-10-16
dc.date.accessioned2026-07-07T06:39:06Z
dc.date.available2026-07-07T06:39:06Z
dc.descriptionThe goal of this paper is to show that the local Gröbner fan is a polyhedral fan for ideals in the ring of power series and the homogenized ring of analytic differential operators. We will also discuss about relations between the local Gröbner fan and the (global) Gröbner fan for a given ideal and algorithms of computing local Gröbner fans. In rings of differential operators, finiteness and convexity of local Gröbner fans were firstly proved by Assi, Castro-Jiménez and Granger. But they did not prove that they are polyhedral fans.
dc.description34 pages, 2 figures. Version 2: mainly, we corrected the definition of the Newton polyhedron in 3.3
dc.identifierhttps://arxiv.org/abs/math/0412044
dc.identifierhttp://arxiv.org/abs/math/0412044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100964
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleLocal Gröbner fan: polyhedral and computational approach
dc.typetext

Files

Collections

arXiv