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Article overview
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A geometric degree formula for $A$-discriminants and Euler obstructions of toric varieties | | Yutaka Matsui
; Kiyoshi Takeuchi
; | | Date: |
20 Jul 2008 | | Abstract: | We give explicit formulas for the dimensions and the degrees of
$A$-discriminant varieties introduced by Gelfand-Kapranov-Zelevinsky. Our
formulas can be applied also to the case where the $A$-discriminant varieties
are higher-codimensional and their degrees are described by the geometry of the
configurations $A$. Moreover combinatorial formulas for the Euler obstructions
of general (not necessarily normal) toric varieties will be also given. In the
course of the proof, we extend the classical results of Kushnirenko, Varchenko,
Kirillov and Oka etc. on polynomials on $CC^n$ to (non-degenerate) polynomial
functions on general toric varieties. | | Source: | arXiv, 0807.3163 | | Services: | Forum | Review | PDF | Favorites | |
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