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.

16 pages, 3 figures