English

Local Euler obstructions of toric varieties

Algebraic Geometry 2017-11-08 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1610.02430,
  title  = {Local Euler obstructions of toric varieties},
  author = {Bernt Ivar Utstøl Nødland},
  journal= {arXiv preprint arXiv:1610.02430},
  year   = {2017}
}
R2 v1 2026-06-22T16:14:48.676Z