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arXiv · 1710.05346

On the intersection multiplicity of plane branches

Evelia R. García Barroso·Arkadiusz Płoski
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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.

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Evelia R. García Barroso, Arkadiusz Płoski. 2017-10-15. On the intersection multiplicity of plane branches. https://doi.org/10.4064/cm7444-4-2018.

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