5 problems

Let $\overline{K}$ be an algebraically closed field of characteristic $p$, and let the paper's singularity-classification algorithm be denoted by Algorithm 1. Positive-characterist…

Octad picture stable-reduction conjecture. The stable reduction type, including whether or not it is hyperelliptic, of any smooth plane quartic over any non-archimedean local field…

Let $V(Q)$ be a real quartic such that for each bitangent $L$, $L\cap V(Q)\cap L_\infty=\emptyset$, where $L_\infty$ denotes the line at infinity. For a real bitangent $L$, let…

Let $Q$ be a smooth plane quartic defined over $\mathbb{R}$, and let $L_\infty \subset \mathbb{P}^2_{\mathbb{R}}$ be a line defined over $\mathbb{R}$ such that…

BLMPR conjecture. Each of the seven odd theta characteristics of $\Gamma$ is the specialization of four effective theta characteristics of $X$, counted with multiplicity.