Resultants and Contour Integrals

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dc.creatorMorozov, A.
dc.creatorShakirov, Sh.
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:53:27Z
dc.date.available2026-07-07T09:53:27Z
dc.descriptionResultants are important special functions used in description of non-linear phenomena. Resultant $R_{r_1, ..., r_n}$ defines a condition of solvability for a system of $n$ homogeneous polynomials of degrees $r_1, ..., r_n$ in $n$ variables, just in the same way as determinant does for a system of linear equations. Unfortunately, there is a lack of convenient formulas for resultants when the number of variables is large. In this paper we use Cauchy contour integrals to obtain a polynomial formula for resultants, which is expected to be useful in applications.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0807.4539
dc.identifierhttp://arxiv.org/abs/0807.4539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165958
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleResultants and Contour Integrals
dc.typetext

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