The resultant of an unmixed bivariate system

DOI10.1016/S0747-7171(03)00089-0zbMath1068.14070arXivmath/0209115MaRDI QIDQ1878480

Amit Khetan

Publication date: 20 August 2004

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209115

zbMATH Keywords

Sylvester matrixexterior algebraBézout matrix

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Real algebraic and real-analytic geometry (14P99) Computational aspects in algebraic geometry (14Q99)

Related Items (15)

Computing in algebraic geometry and commutative algebra using Macaulay 2 ⋮ Bezoutians and Tate resolutions ⋮ Resultants for unmixed bivariate polynomial systems produced using the Dixon formulation ⋮ On the Mahler measure of resultants in small dimensions ⋮ The Canny-Emiris conjecture for the sparse resultant ⋮ Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin) ⋮ Single-lifting Macaulay-type formulae of generalized unmixed sparse resultants ⋮ Toric forms of elliptic curves and their arithmetic ⋮ Exact matrix formula for the unmixed resultant in three variables ⋮ Implicitization of rational surfaces using toric varieties ⋮ Matrix formulæ for resultants and discriminants of bivariate tensor-product polynomials ⋮ Intersection and self-intersection of surfaces by means of Bezoutian matrices ⋮ Rational univariate reduction via toric resultants ⋮ Implicitization of rational ruled surfaces with \(\mu \)-bases ⋮ Computations of multi-resultant with mechanization

Cites Work

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• Sheaf cohomology and free resolutions over exterior algebras
• Rectangular corner cutting and Dixon \({\mathcal A}\)-resultants
• Resultant over the residual of a complete intersection.
• Explicit formulas for the multivariate resultant.

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