Monodromy of Critical Points and Multiplicities of Bifurcation Sets

Student: Pavlov Evgenii

Educational Programme: Mathematics (Bachelor)

Final Grade: 9

Year of Graduation: 2019

We develop a method to find and estimate the local multiplicities of the caustics and Maxwell sets of isolated singularities. We explicitly find them for all simple and unimodal singularities and establish a bound for the multiplicities of the caustics of arbitrary singularities in term of their Newton diagrams.

Full text (added June 3, 2019)

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