11 citations · 20 across the 6 of their papers we have counts for
6 papers
Unipotent homotopy theory of schemes
Shubhodip Mondal, Emanuel Reinecke
Building on Toën's work on affine stacks, we develop a certain homotopy theory for schemes, which we call "unipotent homotopy theory." Over a field of characteristic , we prov…
On Postnikov completeness for replete topoi
Shubhodip Mondal, Emanuel Reinecke
We show that the hypercomplete -topos associated with any replete topos is Postnikov complete, positively answering a question of Bhatt and Scholze; this will be deduced fr…
A prismatic approach to crystalline local systems
Haoyang Guo, Emanuel Reinecke
Let X be a smooth p-adic formal scheme. We show that integral crystalline local systems on the generic fiber of X are equivalent to prismatic F-crystals over the analytic locus of…
The cohomology of the moduli space of curves at infinite level
Emanuel Reinecke
Full level-n structures on smooth, complex curves are trivializations of the n-torsion points of their Jacobians. We give an algebraic proof that the etale cohomology of the moduli…
Shimura varieties at level and Galois representations
Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu +4
We show that the compactly supported cohomology of certain or -Shimura varieties with -level vanishes above the middle degree. The…
Autoequivalences of twisted K3 surfaces
Emanuel Reinecke
Derived equivalences of twisted K3 surfaces induce twisted Hodge isometries between them; that is, isomorphisms of their cohomologies which respect certain natural lattice structur…