11 citations · 20 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…