5 problems

Hilbert's conjecture.

Hilbert's Sextic Conjecture. For any smooth, irreducible, generically free $A_6$-curve $X$,

Let $G$ be a connected algebraic group over a field $k$. Radical splitting conjecture. One has … This would follow from a positive answer to Tits's question of whether torsors unde…

For each $n$, let $\mathcal{P}_n$ be the parameter space of degree-$n$ polynomials and let $\widetilde{\mathcal{P}}_n\to\mathcal{P}_n$ be the associated cover parametrizing a root.…

Let $\mathcal{H}_{3,3}$ denote the moduli space of smooth cubic surfaces, and let $\mathcal{H}_{3,3}(r)$ denote the moduli space of smooth cubic surfaces together with $r$ specifie…