The regularity of points in multi-projective spaces

dc.creatorHa, Huy Tai
dc.creatorVan Tuyl, Adam
dc.date2002-11-17
dc.date2003-07-09
dc.date.accessioned2026-07-07T04:53:01Z
dc.date.available2026-07-07T04:53:01Z
dc.descriptionLet I = p_1^{m_1} \cap ... \cap p_s^{m_s} be the defining ideal of a scheme of fat points in P^{n_1} x ... x P^{n_k} with support in generic position. When all the m_i's are 1, we explicitly calculate the Castelnuovo-Mumford regularity of I. In general, if at least one m_i >= 2, we give an upper bound for the regularity of I, which extends the result of Catalisano, Trung and Valla to the multi-projective case.
dc.description12 pages with minor revisions. To appear in JPAA
dc.identifierhttps://arxiv.org/abs/math/0211263
dc.identifierhttp://arxiv.org/abs/math/0211263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65688
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D02,13D40, 14Q99
dc.titleThe regularity of points in multi-projective spaces
dc.typetext

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