Multiplicities of bifurcation sets of Pham singularities
Algebraic Geometry
2017-01-17 v1
Abstract
The local multiplicities of the Maxwell sets in the spaces of versal deformations of Pham holomorphic function singularities are calculated. A similar calculation for some other bifurcation sets (generalized Stokes' sets) defined by more complicated relations between the critical values is given. Aplications to the complexity of algorithms enumerating topologically distinct morsifications of complicated real function singularities are discussed.
Keywords
Cite
@article{arxiv.1701.03909,
title = {Multiplicities of bifurcation sets of Pham singularities},
author = {Victor A. Vassiliev},
journal= {arXiv preprint arXiv:1701.03909},
year = {2017}
}