On the intersection multiplicity of plane branches
Algebraic Geometry
2019-10-02 v1
Abstract
We prove an intersection formula for two plane branches in terms of their semigroups and key polynomials. Then we provide a strong version of Bayer's theorem on the set of intersection numbers of two branches and apply it to the logarithmic distance in the space of branches.
Keywords
Cite
@article{arxiv.1710.05346,
title = {On the intersection multiplicity of plane branches},
author = {Evelia R. García Barroso and Arkadiusz Płoski},
journal= {arXiv preprint arXiv:1710.05346},
year = {2019}
}
Comments
14 pages