We construct group-theoretical generalizations of the Hasse invariant on strata closures of
the stacks G-Zip\nolimits^ μ G-Zip μ. Restricting to zip data of Hodge type, we obtain a group …

Given a compact PEL-type Shimura variety, a sufficiently regular weight (defined by mild and
effective conditions), and a prime number p unramified in the linear data and larger than an …

We consider the interior cohomology (and the Hodge graded pieces in the case of the de
Rham realization) of general–not necessarily compact–PEL-type Shimura varieties with …

We show that the classical Koecher's principle for holomorphic Siegel modular forms
generalizes to all PEL-type cases, in mixed characteristics and for all vector-valued weights …

We construct group-theoretical generalizations of the Hasse invariant on strata closures of
the stacks $ G $-Zip $^{\mu} $. Restricting to zip data of Hodge type, we obtain a group …

We construct integral models of toroidal compactifications of PEL-type Shimura varieties with
projective cone decompositions as normalizations of certain explicit blowups of the …

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR
FORMS MOD p OF WEIGHT 1 Page 1 J. Inst. Math. Jussieu (2020) 19(2), 281–306 …

We consider the coherent cohomology of toroidal compactifications of locally symmetric
varieties (such as Shimura varieties) with coefficients in the canonical and subcanonical …

In this paper we investigate the (classical) weights of mod p Siegel modular forms of degree
2 toward studying Serre's conjecture for GS p 4/Q. We first construct various theta operators …

We present a short proof that, for PEL-type Shimura varieties, subcanonical extensions of
automorphic bundles, whose global sections over toroidal compactifications of Shimura …