Abstract
Let A be a finitely generated algebra over a field K of characteristic p > 0. We introduce a subring W†(A) ⊂ W(A), which we call the ring of overconvergent Witt vectors, and prove its basic properties. In a subsequent paper we use the results to define an overconvergent de Rham–Witt complex for smooth varieties over K whose hypercohomology is the rigid cohomology.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Journal fuer die Reine und Angewandte Mathematik |
| Vol/bind | 668 |
| Antal sider | 34 |
| ISSN | 0075-4102 |
| Status | Udgivet - 2012 |
| Udgivet eksternt | Ja |