3 problems

Let ${\cal A}_\mu$ and ${\cal A}_e$ be the vector spaces of Abelian integrals $\alpha_0 I_0+\alpha_1 I_1$ corresponding to the continuous families of ovals ${\cal O}_\mu$ and…

Let $P(x)$ be a polynomial with distinct real critical values, and let ${\cal D}$ be the relevant domain of the parameter $h$. Consider the vector space of Abelian integrals…

Let $L_{\phi_1,\dots,\phi_n}$ be a differential operator with a chosen canonical factorization of type (I) or (II) at $x_0$, written as … for all $u\in AC^{n-1}[T,x_0[$. A linear s…