Abstract
We give explicit formulas for the dimensions and the degrees of A-discriminant varieties introduced by Gelfand, Kapranov and 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.
Original language | English |
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Pages (from-to) | 2040-2064 |
Number of pages | 25 |
Journal | Advances in Mathematics |
Volume | 226 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2011 Jan 30 |
Externally published | Yes |
Keywords
- Discriminants
- Euler obstructions
- Toric varieties
ASJC Scopus subject areas
- Mathematics(all)