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We study the kernel and cokernel of the Frobenius map on the p-typical Witt vectors of a commutative ring, not necessarily of characteristic p. We give some equivalent conditions to surjectivity of the Frobenus map on both finite and infinite length Witt vectors; the former condition turns out to be stable under certain integral extensions, a fact which… (More)

We describe an alternate construction of some of the basic rings introduced by Fontaine in p-adic Hodge theory. In our construction, the central role is played by the ring of p-typical Witt vectors over a p-adic valuation ring, rather than the Witt vectors over a ring of positive characteristic. This suggests the possibility of forming a meaningful global… (More)

- Christopher Potts, Luis Alonso-Ovalle, +8 authors Martin Walkow
- 2008

We use large collections of online product reviews, in Chinese, English, German, and Japanese, to study the use conditions of expressives (swears, antihonorifics, intensives). The distributional evidence provides quantitative support for a pragmatic theory of these items that is based in speaker and hearer expectations.

- Christopher Davis, Christopher Potts, +13 authors Gregory Ward
- 2007

Lewis (1986a: §5) 1 articulates and explores a trio of important general theses concerning pragmatic values: (1) Pragmatic values are i. irreducibly distinct from semantic denotations; ii. sometimes specific to individual clause types; and iii. appropriately modeled with probabilities. Lewis (1976, 1986b) concentrates on material conditionals, arguing that… (More)

- Christopher Davis, Christopher Potts
- Amsterdam Colloquium on Logic, Language and…
- 2009

- Colin Adams, Hanna Bennett, +4 authors Eric Schoenfeld
- 2008

We generalize the results of [AS], finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each the lift of a rigid 2-orbifold embedded in some hyperbolic 3-orbifold. In addition, we provide a uniqueness theorem and demonstrate that many knots cannot possess totally geodesic Seifert surfaces by giving bounds on… (More)

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 hypercohomol-ogy is the rigid… (More)

The goal of this work is to construct, for a smooth variety X over a perfect field k of finite characteristic, an overconvergent de Rham-Witt complex W † Ω X/k as a suitable subcomplex of the de Rham-Witt complex of Deligne-Illusie. This complex, which is functorial in X, is a complex ofétale sheaves and a differential graded algebra over the ring W † (OX)… (More)

We define a p-adic character to be a continuous homomorphism from 1 + tFq[[t]] to Z * p. For p > 2, we use the ring of big Witt vectors over Fq to exhibit a bijection between p-adic characters and sequences (c i) (i,p)=1 of elements in Zq, indexed by natural numbers relatively prime to p, and for which lim i→∞ c i = 0. To such a p-adic character we… (More)