6 problems

Let $n=2\ell$, assume that $\operatorname{char}(F)$ is zero or sufficiently positive, and let $\mathcal{C}_m$ be the $m$-th inflectionary curve from $y^n=x^5+x^3+sx$. For…

Let $n=2\ell$, assume that $\operatorname{char}(F)$ is zero or sufficiently positive, and let $\mathcal{C}_m=\mathcal{C}^{\ell}_m$ be the $m$-th inflectionary curve from the $D_4$…

Let $n=2\ell$, let $F$ have characteristic zero or sufficiently positive characteristic different from three, and let $\mathcal{C}^{\ell}_m\subset\mathbb{P}(1,2,1)$ be the inflecti…

Let $n=2\ell$, assume that $\operatorname{char}(F)$ is zero or sufficiently positive, and let $P^{\ell,*}_m$ be the atomic inflection polynomial of $y^n=x^3+\lambda x+2$. For even…

Let $n=2\ell$, assume that the characteristic of $F$ is zero or sufficiently positive, and let $P^{\ell,*}_m$ be the atomic inflection polynomial of the Weierstrass pencil…

Let $F$ be the base field, let $n\geq 2$, and let $a,b,c$ be positive integers. Let $\mathcal{C}^{\ell}_m$ be the inflectionary curve derived from the pencil…