On the intersection multiplicity of plane branches
Volume 156 / 2019
Colloquium Mathematicum 156 (2019), 243-254
MSC: Primary 32S05; Secondary 14H20.
DOI: 10.4064/cm7444-4-2018
Published online: 24 January 2019
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 multiplicities of two branches with fixed characteristics and apply it to the logarithmic distance in the space of branches.
