ag.algebraic geometry - complement of "good reduction" points in p-adic shimura varieties

ag.algebraic geometry – complement of “good reduction” factors in p-adic shimura varieties Answer

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ag.algebraic geometry – complement of “good reduction” factors in p-adic shimura varieties

occupy that $X$ is Siegel Shimura selection outlined over $mathbb{Z}_p$, you may take its p-adic formal completion $mathfrak{X}$,and than take it is adic universal fiber $mathcal{X}$ and get an adic house,you may too take $(Xotimes Q_p)^{advert}$.then $mathcal{X}$ is a capable launch subset of $(Xotimes mathbb{Q}_p)^{advert}$ (you may behold this phonemena already for $mathbb{Z}_p[x]$) which provides you the locus of fine discount.

it is okay up to now however then when you labor with say minimal compactification $X^{star}$ which is capable, then $mathcal{X}^*=(X^{star}otimesmathbb{Q}_p)^{advert}$,now $mathfrak{X}subsetmathfrak{X}^star$ is launch with a complement of diminutive codimension so you may prolong some issues from $parch, p$ to the all $(X^{star}otimesmathbb{Q}_p)^{advert}$.

now you probably have an abelian selection with a evil discount over $C_p$ its neuron mannequin is an extension of a tori with an abelian number of smaller dimensions and therefore you get one other route to narrate this to parch p which at circumstances I behold is in line with the earlier route.

So I marvel can we are saying one thing about this evil discount locus geometrically? for instance is it workable to in some way stratify it by good discount locus of Siegel varieties with smaller dimensions?

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