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math.NT2026
Canonical extensions of -adic shtukas on toroidal compactifications of Shimura varieties
Shengkai Mao, Peihang Wu
We construct canonical extensions of -adic shtukas on integral models of toroidal compactifications of abelian-type Shimura varieties with quasi-parahoric levels at any prime nu…
math.NT2026
Principal bundles on toroidal compactifications of integral canonical models of abelian-type Shimura varieties
Peihang Wu
In this paper, we construct canonical extensions of principal - (and -)bundles on toroidal compactifications of integral canonical models of abelian-type Shimur…
math.NT2025
Arithmetic compactifications of integral models of Shimura varieties of abelian type
Peihang Wu
In this paper, we construct good toroidal and minimal compactifications in the sense of Lan-Stroh for integral models of abelian-type Shimura varieties. We start with finding suita…