On the Rees algebra of certain codimension two perfect ideals

dc.creatorTai, Ha Huy
dc.date2001-03-14
dc.date.accessioned2026-07-07T04:40:38Z
dc.date.available2026-07-07T04:40:38Z
dc.descriptionLet X be a set of smooth points in P^2, and I = \oplus_{t >= d} I_t the defining ideal of X. In this paper, we give a set of defining equations for the Rees algebra R(I_{d+1}) of the ideal generated by I_{d+1}. This study give information to completely answer questions on the defining ideals of projective embeddings of the blowup of P^2 along the points in X, which has been studied by many authors. In this paper, we also study the asymptotic behaviour of the Rees algebras R(I_t) of the ideal generated by I_t, as t gets large.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0103087
dc.identifierhttp://arxiv.org/abs/math/0103087
dc.identifierManuscripta Mathematica 107 (2002), 479-501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61090
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A30; 14J26; 14E25
dc.titleOn the Rees algebra of certain codimension two perfect ideals
dc.typetext

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