Abstract
In this chapter we discuss a combinatorial framework for discriminants and resultants related to toric varieties. The main construction introduces a certain class of polytopes, called secondary polytopes, whose vertices correspond to certain triangulations of a given convex polytope. These polytopes will play a crucial role later in the study of the Newton polytopes of discriminants and resultants. The constructions in this chapter are quite elementary.
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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). Triangulations and Secondary Polytopes. In: Discriminants, Resultants, and Multidimensional Determinants. Mathematics: Theory & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4771-1_8
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DOI: https://doi.org/10.1007/978-0-8176-4771-1_8
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4770-4
Online ISBN: 978-0-8176-4771-1
eBook Packages: Springer Book Archive