On the multiplicity of the hyperelliptic integrals

Claire Moura

Let $I(t)={\oint }_{\delta (t)}\omega$ be an Abelian integral, where $H=y^2-x^{n+1}+P(x)$ is a hyperelliptic polynomial of Morse type, $\delta (t)$ a horizontal family of cycles in the curves $\{H=t…