Rational transformations of algebraic curves and elimination theory

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dc.creatorShapiro, Alexander
dc.creatorVinnikov, Victor
dc.date2005-07-12
dc.date.accessioned2026-07-07T05:21:37Z
dc.date.available2026-07-07T05:21:37Z
dc.descriptionElimination theory has many applications, in particular, it describes explicitly an image of a complex line under rational transformation and determines the number of common zeroes of two polynomials in one variable. We generalize classical elimination theory and create elimination theory along an algebraic curve using the notion of determinantal representation of algebraic curve. This new theory allows to describe explicitly an image of a plane algebraic curve under rational transformation and to determine the number of common zeroes of two polynomials in two variables on a plane algebraic curve.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0507233
dc.identifierhttp://arxiv.org/abs/math/0507233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75753
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14E05; 12D10
dc.titleRational transformations of algebraic curves and elimination theory
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