Results 1 to 10 of about 5,760 (118)
Semi-galois categories II: An arithmetic analogue of Christol's theorem [PDF]
Journal of Algebra, 2017 In connection with our previous work on semi-galois categories, this paper proves an arithmetic analogue of Christol's theorem concerning an automata-theoretic characterization of when a formal power series over finite field is algebraic over the ...
Takeo Uramoto
semanticscholar +3 more sources
Witt Vector Rings and the Relative de Rham Witt Complex [PDF]
Journal of Algebra, 2015 In this paper we develop a novel approach to Witt vector rings and to the (relative) de Rham Witt complex. We do this in the generality of arbitrary commutative algebras and arbitrary truncation sets.
Cuntz, Joachim, Deninger, Christopher
core +3 more sources
Advances in Mathematics, 1989 Let \(a(t)=1+\sum_{n=1}a_ nt^ n \in {\mathbb{Z}}[[t]]\) be a formal power series with integral coefficients. The authors establish isomorphisms between: the Burnside ring \({\hat \Omega}(C)\) of the infinite cyclic group C, the Grothendieck ring \(\Lambda(Z)\) [\textit{A. Grothendieck}, Bull. Soc. Math.
Dress, Andreas, Siebeneicher, Christian
openaire +5 more sources
Witt vectors as a polynomial functor [PDF]
Selecta Mathematica, 2016 For every commutative ring A, one has a functorial commutative ring W(A) of p-typical Witt vectors of A, an iterated extension of A by itself. If A is not commutative, it has been known since the pioneering work of L.
Dmitry Kaledin
semanticscholar +2 more sources
Transfer Principles in Henselian Valued Fields
Bulletin of Symbolic Logic, 2021 In this thesis, we study transfer principles in the context of certain Henselian valued fields, namely Henselian valued fields of equicharacteristic $0$ , algebraically closed valued fields, algebraically maximal Kaplansky valued fields, and unramified
Pierre Touchard
semanticscholar +1 more source
Noncommutative Symmetric Functions Associated with a Code, Lazard Elimination, and Witt Vectors [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions.
Jean-Gabriel Luque, J. Thibon
semanticscholar +1 more source
The Structure of the Grothendieck Rings of Wreath Product Deligne Categories and their Generalisations [PDF]
International mathematics research notices, 2018 Given a tensor category $\mathcal{C}$ over an algebraically closed field of characteristic zero, we may form the wreath product category $\mathcal{W}_n(\mathcal{C})$.
Christopher Ryba
semanticscholar +1 more source
A new proof of a vanishing result due to Berthelot, Esnault, and Rülling [PDF]
Journal of Number Theory, 2018 The goal of this small note is to give a more concise proof of a result due to Berthelot, Esnault, and Rulling in [4] . For a regular, proper, and flat scheme X over a discrete valuation ring of mixed characteristic ( 0 , p ) , it relates the vanishing ...
Veronika Ertl
semanticscholar +1 more source
Almost purity and overconvergent Witt vectors [PDF]
, 2014 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 \'etale extension of R[
Davis, Christopher, Kedlaya, Kiran S.
core +3 more sources
The basic geometry of Witt vectors, I: The affine case [PDF]
, 2015 We give a concrete description of the category of etale algebras over the ring of Witt vectors of a given finite length with entries in an arbitrary ring.
Borger, James
core +1 more source