On the Milnor number of a polar curve of a generic plane branch with one characteristic exponent
Volume 128 / 2024
Banach Center Publications 128 (2024), 145-151
MSC: Primary 1R09; Secondary 52B20, 14H50, 14B05, 14H20
DOI: 10.4064/bc128-10
Abstract
We prove a formula for the Milnor number of a polar curve of a generic plane branch with one characteristic exponent, using Newton diagrams technique and arithmetic properties of continued fraction expansions.