Originalversjon
Journal of Pure and Applied Algebra. 2018, 222 (3), 508-533, DOI: http://dx.doi.org/10.1016/j.jpaa.2017.04.016
Sammendrag
We use Matsui and Takeuchi's formula for toric A-discriminants to give algorithms for computing local Euler obstructions and dual degrees of toric surfaces and 3-folds. In particular, we consider weighted projective spaces. As an application we give counterexamples to a conjecture by Matsui and Takeuchi. As another application we recover the well-known fact that the only defective normal toric surfaces are cones.