3 problems

Let an $\Upsilon$-scheme be given, together with the collection of polynomials associated with its counting data. Greatest-common-divisor conjecture. The zeta function of an…

Descent conjecture. Under these hypotheses, the separated envelope of $T'$ descends through $p$, so that $T$ possesses a separated envelope.

Let $S$ be a $\mathscr{D}_0$-scheme, and let $\overline{S}$ be a $\mathbb{Z}$-scheme descending to $S$. Suppose that $S$ has a counting polynomial $X$ satisfying … for every prime…