Results 11 to 20 of about 25,831 (144)
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
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Overconvergent Witt vectors [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012 25 ...
Davis, Christopher +2 more
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Algebraic attack on NTRU using Witt vectors and Gröbner bases
Journal of Mathematical Cryptology, 2009 We present an algebraic attack on NTRU (restricted to the case where the parameter q is a power of two) using the method of the Witt vectors proposed by Silverman, Smart and Vercauteren [Springer: 278–298, 2005]; the latter considered only the first two ...
Bourgeois Gérald, Faugère Jean-Charles
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An alternative to Witt vectors [PDF]
Munster Journal of Mathematics, 2013 The ring of Witt vectors associated to a ring R is a classical tool in algebra. We introduce a ring C(R) which is more easily constructed and which is isomorphic to the ring of Witt vectors W(R) for a perfect F_p-algebra R.
Cuntz, Joachim, Deninger, Christopher
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Advances in Mathematics, 1993 A generalization of the ring of Witt vectors is the Burnside-Witt ring \(W_ G(A)\) whose elements are sequences of elements in \(A\) indexed by conjugacy classes of open subgroups of a profinite group \(G\), introduced by \textit{A. W. M. Dress} and \textit{C. Siebeneicher} [Adv. Math. 70, No. 1, 87-132 (1988; Zbl 0691.13026)]. This paper characterizes
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The norm map of Witt vectors [PDF]
Comptes Rendus. Mathématique, 2014 We discuss a multiplicative version of the Verschiebung map of Witt vectors that we call the norm.Comment: 7 pages.
Angeltveit, Vigleik
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Witt vectors and Tambara functors
Advances in Mathematics, 2005 22 pages, minor ...
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Witt vectors as a polynomial functor [PDF]
Selecta Mathematica, 2017 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.
Kaledin, D.
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The Witt vectors for Green functors
Journal of Algebra, 2019 We define twisted Hochschild homology for Green functors. This construction is the algebraic analogue of the relative topological Hochschild homology $THH_{C_n}(-)$, and it describes the $E_2$ term of the K nneth spectral sequence for relative $THH$. Applied to ordinary rings, we obtain new algebraic invariants.
Blumberg, Andrew J. +3 more
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Lifting vector bundles to Witt vector bundles
Israel Journal of Mathematics, 2018 Let $p$ be a prime, and let $S$ be a scheme of characteristic $p$. Let $n \geq 2$ be an integer. Denote by $\mathbf{W}_n(S)$ the scheme of Witt vectors of length $n$, built out of $S$. The main objective of this paper concerns the question of extending (=
Arteche, Giancarlo Lucchini +2 more
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