We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The basic geometry of Witt vectors. II: Spaces.
- Authors
Borger, James
- Abstract
This is an account of the algebraic geometry of Witt vectors and arithmetic jet spaces. The usual, ' p-typical' Witt vectors of p-adic schemes of finite type are already reasonably well understood. The main point here is to generalize this theory in two ways. We allow not just p-typical Witt vectors but those taken with respect to any set of primes in any ring of integers in any global field, for example. This includes the 'big' Witt vectors. We also allow not just p-adic schemes of finite type but arbitrary algebraic spaces over the ring of integers in the global field. We give similar generalizations of Buium's formal arithmetic jet functor, which is dual to the Witt functor. We also give concrete geometric descriptions of Witt spaces and arithmetic jet spaces and investigate whether a number of standard geometric properties are preserved by these functors.
- Subjects
GEOMETRY; ALGEBRA; ARITHMETIC; INTEGRALS; RINGS of integers
- Publication
Mathematische Annalen, 2011, Vol 351, Issue 4, p877
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-010-0608-1