On the structure of the fiber cone of ideals with analytic spread one

dc.creatorCortadellas, Teresa
dc.creatorZarzuela, Santiago
dc.date2006-03-02
dc.date.accessioned2026-07-07T07:06:26Z
dc.date.available2026-07-07T07:06:26Z
dc.descriptionFoa a given local ring, we study the fiber cone of ideals with analytic spread one. In this case, the fiber cone has a strucure as a module over its Noether normalization which is a polynomial ring in one variable over the residue field. One may then apply the structure theorem for graded modules over a graded principal domain to get a complete descriptionof the fiber cone as a module. We analyze this structure in order to study and characterize in terms of the ideal itself the aritmetical properties and other numerical invariants of the fiber cone as multiplicity, reduction number or Castelnuovo-Mumford regularity.
dc.descriptionAMS-LaTeX, 24 pages
dc.identifierhttps://arxiv.org/abs/math/0603042
dc.identifierhttp://arxiv.org/abs/math/0603042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110027
dc.subjectCommutative Algebra
dc.subject13A30 (Primary); 13H10, 13H15, 13A02 (Secondary)
dc.titleOn the structure of the fiber cone of ideals with analytic spread one
dc.typetext

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