5 problems

Let $k$ be a perfect field of characteristic $2$, let $\Delta$ be a two-dimensional lattice polygon satisfying the conditions from Lemma, and let $f$ be a $\Delta$-non-degenerate (…

Higher transversality conjecture. The involution $\omega$ is also $n$-transverse for every integer $n\ge 3$.

Let $\mathbb F$ be a field of characteristic $2$. Let $n\in\mathbb N$ be odd, $m\in\mathbb N^n$, and set $K=K(n,m)$. Write $K'$ for the derived algebra and $N(K')$ for its relevant…

Let $H(4,(m_1,m_2,m_3,1))$ and $S(3,(m_1,m_2,m_3))$ denote the indicated graded Lie algebras of Cartan type in characteristic $2$. Brough–Eick's exceptional-isomorphism conjecture.…

Factorization characterization conjecture. The polynomial $P$ is representable if and only if, for some (equivalently any) tuple of squares $\ell\in{\mathbb F}^m$,…