15 citations · 58 across the 13 of their papers we have counts for
12 papers · 1 filter
Point Counting on Igusa Varieties for function fields
Paul Hamacher, Wansu Kim
Igusa varieties over the special fibre of Shimura varieties have demonstrated many applications to the Langlands program via Mantovan's formula and Shin's point counting method. In…
On the Tate conjecture for divisors on varieties with in positive characteristics
Paul Hamacher, Ziquan Yang, Xiaolei Zhao
We prove that the Tate conjecture for divisors is ''generically true'' for mod p reductions of complex projective varieties with , under a mild assumption on moduli.…
On the geometry of affine Deligne-Lusztig varieties for quasi-split groups with very special leve
Paul Hamacher
In this paper we discuss the geometry of affine Deligne Lusztig varieties with very special level structure, determining their dimension and connected and irreducible components. A…
On -isoshtukas over function fields
Paul Hamacher, Wansu Kim
In this paper we classify isogeny classes of global -shtukas over a smooth projective curve (or equivalently -conjugacy classes in $\mathsf{G}(\math…
On the generalisation of cohomology with compact support to non-finite type schemes
Paul Hamacher
In this article we extend Deligne's construction of Grothendieck's six operations on the derived category of torsion sheaves over the étale site of a scheme for morphisms of finite…
Finiteness properties of affine Deligne-Lusztig varieties
Paul Hamacher, Eva Viehmann
Affine Deligne-Lusztig varieties are closely related to the special fibre of Newton strata in the reduction of Shimura varieties or of moduli spaces of -shtukas. In almost all c…
Irreducible components of minuscule affine Deligne-Lusztig varieties
Paul Hamacher, Eva Viehmann
We examine the set of -orbits in the set of irreducible components of affine Deligne-Lusztig varieties for a hyperspecial subgroup and minuscule coweight . Our descripti…
On the Newton stratification in the good reduction of Shimura varieties
Paul Hamacher
I construct a generalisation of Mantovan's almost product structure to Shimura varieties of Hodge type with hyperspecial level structure at and deduce that the perfection of th…
The almost product structure of Newton strata in the Deformation space of a Barsotti-Tate group with crystalline Tate tensors
Paul Hamacher
In this paper, we construct the almost product structure of the minimal Newton stratum in deformation spaces of Barsotti-Tate groups with crystalline Tate tensors, similar to Oort'…
The geometry of Newton strata in the reduction modulo of Shimura varieties of PEL type
Paul Hamacher
In this paper we study the Newton stratification on the reduction of Shimura varieties of PEL type with hyperspecial level structure and the Newton stratification on the deformatio…
The dimension of affine Deligne-Lusztig varieties in the affine Grassmannian of unramified groups
Paul Hamacher
In this paper we calculate the dimension of affine Deligne-Lusztig varieties in the affine Grassmannian of unramified groups. We also examine the irreducible components of ADLVs in…
The p-rank stratification on the Siegel moduli space with Iwahori level structure
Paul Hamacher
Our concern in this paper is to describe the p-rank statification on the Siegel moduli space with Iwahori level structure over fields of positive characteristic. We calculate the d…