English

Motivic Milnor fibre for nondegenerate function germs on toric singularities

Algebraic Geometry 2013-10-28 v1

Abstract

We study function germs on toric varieties which are nondegenerate for their Newton diagram. We express their motivic Milnor fibre in terms of their Newton diagram. We extend a formula for the motivic nearby fibre to the case of a toroidal degeneration. We illustrate this by some examples.

Keywords

Cite

@article{arxiv.1310.6914,
  title  = {Motivic Milnor fibre for nondegenerate function germs on toric singularities},
  author = {J. H. M. Steenbrink},
  journal= {arXiv preprint arXiv:1310.6914},
  year   = {2013}
}

Comments

14 pages