Title: On central leaves of Hodge-type Shimura varieties with parahoric level structure,
Abstract: Kisin and Pappas constructed integral models of Hodge-type Shimura varieties
with parahoric level structure at $p>2$, such that the formal neighbourhood of
a mod~$p$ point can be interpreted as a deformation space of $p$-divisible
group with some Tate cycles (generalising Faltings' construction). In this
paper, we study the central leaf and the closed Newton stratum in the formal
neighbourhoods of mod~$p$ points of Kisin-Pappas integral models with parahoric
level structure; namely, we obtain the dimension of central leaves and the
almost product structure of Newton strata. In the case of hyperspecial level
strucure (i.e., in the good reduction case), our main results were already
obtained by Hamacher, and the result of this paper holds for ramified groups as
well.