Overconvergent Witt vectors
Copyright policy )Overconvergent Witt vectors
Let A be a finitely generated algebra over a field K of characteristic p >0. We introduce a subring of the ring of Witt vectors W(A). We call it the ring of overconvergent Witt vectors. We prove that on a scheme X of finite type over K the overconvergent Witt vectors are an étale sheaf. In a forthcoming paper (Annales ENS) we define an overconvergent de Rham-Witt complex on a smooth scheme X over a perfect field K whose hypercohomology is the rigid cohomology of X in the sense of Berthelot.
25 pages
- Bielefeld University Germany
- University of Exeter United Kingdom
Mathematics - Algebraic Geometry, de Rham-Witt complex, rigid cohomology, Witt vectors and related rings, FOS: Mathematics, overconvergent Witt vectors, \(p\)-adic cohomology, crystalline cohomology, Algebraic Geometry (math.AG), de Rham cohomology and algebraic geometry
Mathematics - Algebraic Geometry, de Rham-Witt complex, rigid cohomology, Witt vectors and related rings, FOS: Mathematics, overconvergent Witt vectors, \(p\)-adic cohomology, crystalline cohomology, Algebraic Geometry (math.AG), de Rham cohomology and algebraic geometry
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!