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A-discriminants and Cayley-Koszul complexes. (English. Russian original) Zbl 0716.13016
Sov. Math., Dokl. 40, No. 1, 239-243 (1990); translation from Dokl. Akad. Nauk SSSR 307, No. 6, 1307-1311 (1989).
The discriminant of a polynomial $$f(x)=a_ 0+...+a_ mx^ m$$ is equal to $$m^ ma_ m^{m-1}\prod f(\alpha_ i)$$, where the $$\alpha_ i$$ are the roots of $$f'(x)$$. The authors generalize this fact to Laurent polynomials in several variables: to each set A of Laurent monomials they associate an A-discriminant. The results established in seven theorems are interesting, in particular, for rectangular matrices, lattices, hypergeometric functions.
Reviewer: V.F.Ignatenko

##### MSC:
 13F25 Formal power series rings 33C80 Connections of hypergeometric functions with groups and algebras, and related topics 06B99 Lattices