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 ...
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.