15 citations · 19 across the 8 of their papers we have counts for
13 papers
Hodge-Chern classes and strata-effectivity in tautological rings
Simon Cooper, Wushi Goldring
Given a connected, reductive -group , a cocharacter and a smooth zip period map $ζ:X \to \mathop{\text{$G$-{\tt Zip}}}\nolimits^μ$, we study which cl…
An Ogus Principle for Zip period maps: The Hasse invariant's vanishing order via `Frobenius and the Hodge filtration'
Wushi Goldring, Stefan Reppen
This paper generalizes a result of Ogus that, under certain technical conditions, the vanishing order of the Hasse invariant of a family of -dimensional Calabi-Yau varieti…
Griffiths-Schmid conditions for automorphic forms via characteristic
Wushi Goldring, Jean-Stefan Koskivirta
We establish vanishing results for spaces of automorphic forms in characteristic and characteristic . We prove that for Hodge-type Shimura varieties, the weight of any nonze…
Divisibility of mod automorphic forms and the cone conjecture for certain Shimura varieties of Hodge-type
Wushi Goldring, Jean-Stefan Koskivirta
For several Hodge-type Shimura varieties of good reduction in characteristic , we show that the cone of weights of automorphic forms is encoded by the stack of -zips of Pink-…
Weights of mod automorphic forms and partial Hasse invariants
Wushi Goldring, Naoki Imai, Jean-Stefan Koskivirta
For a connected, reductive group over a finite field endowed with a cocharacter , we define the zip cone of as the cone of all possible weights of mod automorphi…
Quasi-constant fundamental weights in terms of Levi Weyl groups
Wushi Goldring
In joint work with J.-S. Koskivirta, we had previously introduced the notion of "quasi-constant" character (of a maximal torus of a connected reductive group over a field); we show…
The Griffiths bundle is generated by groups
Wushi Goldring
First the Griffiths line bundle of a -VHS is generalized to a Griffiths character associated to any triple ,…
Quasi-constant characters: Motivation, classification and applications
Wushi Goldring, Jean-Stefan Koskivirta
In our previous paper "Strata Hasse invariants, Hecke algebras and Galois representations", initially motivated by questions about the Hodge line bundle of a Hodge-type Shimura var…
Automorphic vector bundles with global sections on --schemes
Wushi Goldring, Jean-Stefan Koskivirta
A general conjecture is stated on the cone of automorphic vector bundles admitting nonzero global sections on schemes endowed with a smooth, surjective morphism to a stack of -z…
Stratifications of flag spaces and functoriality
Wushi Goldring, Jean-Stefan Koskivirta
We define quotient stacks of "zip flags". They form towers above the stack of -zips introduced by Moonen, Pink, Wedhorn and Ziegler. We define a stratification on the stack of z…
Strata Hasse invariants, Hecke algebras and Galois representations
Wushi Goldring, Jean-Stefan Koskivirta
We construct group-theoretical generalizations of the Hasse invariant on strata closures of the stacks -Zip. Restricting to zip data of Hodge type, we obtain a group-theoret…
The μ-ordinary Hasse invariant of unitary Shimura varieties
Wushi Goldring, Marc-Hubert Nicole
We construct a generalization of the Hasse invariant for any Shimura variety of PEL type A over a prime of good reduction, whose vanishing locus is the open and dense μ-ordinary lo…
A μ-ordinary Hasse invariant
Wushi Goldring, Marc-Hubert Nicole
We construct a generalization of the Hasse invariant for certain unitary Shimura varieties of PEL type whose vanishing locus is the complement of the so-called μ-ordinary locus. We…