This package provides methods to deal with resultants and discriminants of multivariate polynomials, and with higher associated subvarieties of irreducible projective varieties. The main methods are: resultant(Matrix), discriminant(RingElement), chowForm, dualVariety, and tangentialChowForm. For the mathematical theory, we refer to the following two books: Using Algebraic Geometry, by David A. Cox, John Little, Donal O'shea; Discriminants, Resultants, and Multidimensional Determinants, by Israel M. Gelfand, Mikhail M. Kapranov and Andrei V. Zelevinsky. Other references for the theory of Chow forms are: The equations defining Chow varieties, by M. L. Green and I. Morrison; Multiplicative properties of projectively dual varieties, by J. Weyman and A. Zelevinsky; and Coisotropic hypersurfaces in Grassmannians, by K. Kohn.
Version 1.2.1 of this package was accepted for publication in volume 8 of The Journal of Software for Algebra and Geometry on 18 May 2018, in the article A package for computations with classical resultants (DOI: 10.2140/jsag.2018.8.21). That version can be obtained from the journal.
This documentation describes version 1.2.2 of Resultants.
If you have used this package in your research, please cite it as follows:
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The object Resultants is a package, defined in Resultants.m2.
The source of this document is in Resultants.m2:852:0.