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- W59513881 abstract "In the previous chapter we established some structural properties of the principal A-determinant E A . Now we shall apply this information to the A-discriminant Δ A . In the most important case when the toric variety X A is smooth, we have $$ {E_A}(f) = prodlimits_{Gamma subset Q} {{Delta _{A cap Gamma }}} (f) $$where the product is taken over all the faces of the polytope Q = Conv (A) (Theorem 1.2 Chapter 10). Since (in the case when X A is smooth) a similar equality holds for each E A⋂Г, we have a system of equalities relating the polynomials Δ A⋂Г and E A⋂Г that allows us to recover Δ A as as an alternating product of the E A⋂Г. Consequently, alternating sums and products will appear in the expressions for the Newton polytope and coefficients of Δ A ." @default.
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- W59513881 date "1994-01-01" @default.
- W59513881 modified "2023-10-16" @default.
- W59513881 title "Regular A-Determinants and A-Discriminants" @default.
- W59513881 doi "https://doi.org/10.1007/978-0-8176-4771-1_12" @default.
- W59513881 hasPublicationYear "1994" @default.
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