Hilbert polynomials of non-standard bigraded algebras

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dc.creatorHoang, Nguyen Duc
dc.creatorTrung, Ngo Viet
dc.date2002-11-11
dc.date.accessioned2026-07-07T04:52:50Z
dc.date.available2026-07-07T04:52:50Z
dc.descriptionThis paper is a systematic study of the Hilbert polynomial of a bigraded algebra R which are generated by elements of bidegrees (1,0), (d_1,1),...,(d_r,1), where d_1,...,d_r are non-negative integers. The obtained results can be applied to study Rees algebras of homogeneous ideals and their diagonal subalgebras. The Hilbert polynomial is computed explicitly in the following cases: (1) R is a bigraded polynomial ring of the above type; (2) R is the Rees algebra of an ideal generated by a homogeneous regular sequence; (3) R is the Rees algebra of the ideal generated by the maximal minors of a generic (r-1) by r matrix.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0211181
dc.identifierhttp://arxiv.org/abs/math/0211181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65620
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D40, 13H15
dc.titleHilbert polynomials of non-standard bigraded algebras
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