Contact exponent and Milnor number of plane curve singularities.
- Evelia R. García Barroso 1
- Arkadiusz P. Loski
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1
Universidad de La Laguna
info
Argitaletxea: Łódź University Press
ISBN: 978-83-8142-814-9
Argitalpen urtea: 2019
Orrialdeak: 93-109
Mota: Liburuko kapitulua
Laburpena
We investigate properties of the contact exponent (in the sense ofHironaka [Hi]) of plane algebroid curve singularities over algebraically closedfields of arbitrary characteristic. We prove that the contact exponent is anequisingularity invariant and give a new proof of the stability of the maximalcontact. Then we prove a bound for the Milnor number and determine theequisingularity class of algebroid curves for which this bound is attained. Wedo not use the method of Newton’s diagrams. Our tool is the logarithmicdistance developed in [GB-P1].