Inequalities satisfied by the basic sequence of an integral curve in P^3

Simple item page
dc.creatorAmasaki, Mutsumi
dc.date2005-04-07
dc.date.accessioned2026-07-07T05:18:52Z
dc.date.available2026-07-07T05:18:52Z
dc.descriptionWe show several new inequalities found recently that the basic sequence of the saturated homogeneous ideal I of an integral curve in P^3 must satisfy. Then we compare our results with Cook's assertions on the generic initial ideal of I, carrying out numerical computations with the use of a computer. The outcome is that we have obtained new restrictions on the generic initial ideal of I. When the characteristic of k is zero, the basic sequence of a homogeneous ideal I in a polynomial ring over an infinite field k is a sequence of the degrees of the minimal generators of the generic initial ideal of I arranged in a suitable order.
dc.description54 pages
dc.identifierhttps://arxiv.org/abs/math/0504131
dc.identifierhttp://arxiv.org/abs/math/0504131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74819
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject14H50; 13P10, 13D02
dc.titleInequalities satisfied by the basic sequence of an integral curve in P^3
dc.typetext

Files

Collections

arXiv