Yano's Conjecture for Two-Puiseux-Pairs irreducible Plane Curve Singularities
Language
en
Article de revue
This item was published in
Publications of the Research Institute for Mathematical Sciences. 2017, vol. 53
European Mathematical Society
English Abstract
In 1982, Tamaki Yano proposed a conjecture predicting the b- exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In this article we prove the conjecture for the case in ...Read more >
In 1982, Tamaki Yano proposed a conjecture predicting the b- exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In this article we prove the conjecture for the case in which the irreducible germ has two Puiseux pairs and its algebraic monodromy has distinct eigenvalues. This hypothesis on the monodromy implies that the b-exponents coincide with the opposite of the roots of the Bernstein polynomial, and we compute the roots of the Bernstein polynomial.Read less <
English Keywords
Bernstein polynomial
b-exponents
improper integrals.
Origin
Hal imported