On nonemptiness of Newton strata in the $B_\mathrm{dR}^+$-Grassmannian for $\mathrm{GSp}_{2n}$

Abstract

We build upon our previous work to study the Newton stratification on the $B_\mathrm{dR}^+$-Grassmannian for $\mathrm{GSp}_{2n}$. Our main result gives an explicit classification of all nonempty Newton strata associated to a Frobenius-conjugacy class satisfying certain conditions on the Newton polygon.