In Part I we studied discriminants and resultants in the general context of projective geometry: our setup was that of an arbitrary projective variety X ⊂ P n−1. We now want to move into a more combinatorial setting, which is closer to the classical concept of discriminants and resultants for polynomials. This setting corresponds to the situation when X ⊂ P n−1 is a toric variety. In the present chapter, we have adapted the theory of toric varieties for our purposes. Since there are several references available on the subject [D] [Fu 2] [O], we did not attempt to be exhaustive or self-contained. Our exposition is organized “from the special to the general” so that the general description of toric varieties in terms of fans appears at the very end of the chapter.
KeywordsConvex Hull Toric Variety Laurent Polynomial Coordinate Ring Semigroup Algebra
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