4 problems

Let $g_n$ be an isolated Gram point, and let $\gamma^{\mathrm{descend}}$ denote the descending curve in the two-dimensional deformation associated with the shifting and descending…

Let $g_n$ be an isolated bad Gram point, meaning the middle point of a Gram block whose adjacent boundary Gram points $g_{n-1}$ and $g_{n+1}$ are good. In the two-dimensional param…

For $N\in\mathbb{N}$, let $\mathcal{Z}_N$ be the parameter space of functions … with $\overline{a}\in\mathbb{R}^N$. A path $\gamma(r)$ in this space starts at the core function…

Let $g_n$ be a Gram point, and call it bad when it does not satisfy the usual Gram sign condition; call its consecutive neighbours $g_{n-1}$ and $g_{n+1}$ good when they do satisfy…