Abstract
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.
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© 1994 Springer Science+Business Media New York
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Gelfand, I.M., Kapranov, M.M., Zelevinsky, A.V. (1994). Toric Varieties. In: Discriminants, Resultants, and Multidimensional Determinants. Mathematics: Theory & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4771-1_6
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DOI: https://doi.org/10.1007/978-0-8176-4771-1_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4770-4
Online ISBN: 978-0-8176-4771-1
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