The Multivariate Fundamental Theorem of Algebra and Algebraic Geometry

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dc.creatorHakopian, H.
dc.date2004-03-26
dc.date.accessioned2026-07-07T05:06:47Z
dc.date.available2026-07-07T05:06:47Z
dc.descriptionWe derive two consequences of the multivariate fundamental theorem of algebra (MFTA). The first one is the Bezout theorem for $n$ polynomials. Notably the intersection multiplicities, as in MFTA, are characterized just by means of partial differential operators given by polynomials from $D$-invariant linear spaces. The second consequence provides a solution to the ideal membership problem, based on the above characterization of intersection multiplicities. Let us mention that one readily gets Nullstellensatz from here.
dc.identifierhttps://arxiv.org/abs/math/0403460
dc.identifierhttp://arxiv.org/abs/math/0403460
dc.identifierMEGA 2003, International Conference, Short Communications, Kaiserslautern, Germany (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70607
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14C17, 13H15, 13F20
dc.titleThe Multivariate Fundamental Theorem of Algebra and Algebraic Geometry
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