منابع مشابه
Overconvergent Witt Vectors
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.
متن کاملAlmost Purity for Overconvergent Witt Vectors
In a previous paper, we stated a general almost purity theorem in the style of Faltings: if R is a ring for which the Frobenius maps on finite p-typical Witt vectors over R are surjective, then the integral closure of R in a finite étale extension of R[p−1] is “almost” finite étale over R. Here, we use almost purity to lift the finite étale extension of R[p−1] to a finite étale extension of rin...
متن کاملOverconvergent De Rham-witt Cohomology
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 ΩX/k as a suitable subcomplex of the de RhamWitt complex of Deligne-Illusie. This complex, which is functorial in X, is a complex of étale sheaves and a differential graded algebra over the ring W (OX) of overconvergent Witt-vectors. If X is aff...
متن کاملWitt vectors
Caution: These polynomials are referred to as w0, w1, w2, ... in Sections 5-8 of [1]. However, beginning with Section 9 of [1], Hazewinkel uses the notations w1, w2, w3, ... for some different polynomials (the so-called big Witt polynomials, defined by formula (9.25) in [1]), which are not the same as our polynomials w1, w2, w3, ... (though they are related to them: in fact, the polynomial wk t...
متن کاملWitt vectors . Part 1
In this note, we will generalize most of the results in [4], replacing the Witt polynomials wn by the more general polynomials wF,n defined for any pseudo-monotonous map F : P × N → N (the meaning of ”pseudo-monotonous” will soon be explained below). Whenever possible, the proofs will be done by simply copypasting the corresponding proofs from [4] and doing the necessary changes which often wil...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2012
ISSN: 1435-5345,0075-4102
DOI: 10.1515/crelle.2011.141