On Hodge-Witt cohomology of Drinfeld's upper half space over a finite field / vorgelegt von Mattia Tiso. Wuppertal, 2025
Inhalt
- Introduction
- Grothendieck's differential operators
- Some classes of WnOX-modules
- The (Bloch-Deligne-Illusie) de Rham-Witt complex
- Action of G on WnOX
- Definition and properties of the de Rham-Witt complex
- Witt line bundles
- Witt differential operators
- Hodge-Witt cohomology of Drinfeld's half space via local cohomology
- A spectral sequence for local cohomology
- Orlik's acyclic resolution
- A spectral sequence for local cohomology of WnOPd-modules
- The generalized Steinberg modules over Wn(k)
- Computation of the E2-page
- Revisiting the crystalline Beilinson–Bernstein map
- Witt vectors
- Lifting properties