Journal ArticleDOI
Lambda-rings, binomial domains, and vector bundles over cp(∞)
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In this article, Lambda-rings, binomial domains, and vector bundles over cp are discussed, as well as vector bundles in the context of communication in algebra, where vector bundles are represented by lambda-rings.Abstract:
(1982). Lambda-rings, binomial domains, and vector bundles over cp(∞) Communications in Algebra: Vol. 10, No. 3, pp. 311-328.read more
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Prisms and Prismatic Cohomology
Bhargav Bhatt,Peter Scholze +1 more
TL;DR: In this article, the notion of a prism was introduced as a "deperfection" of the perfectoid ring, and a ringed site was attached to a $p$-adic formal scheme.
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The big de Rham–Witt complex
Lars Hesselholt,Lars Hesselholt +1 more
TL;DR: In this paper, a new and direct construction of the multi-prime big de Rham-Witt complex was given for every commutative and unital ring; the original construction by Madsen and myself relied on the adjoint functor theorem and accordingly was very indirect.
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The basic geometry of Witt vectors
TL;DR: In this article, the authors 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.
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The basic geometry of Witt vectors, I: The affine case
TL;DR: In this article, the authors 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.
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The basic geometry of Witt vectors, I: The affine case
TL;DR: In this article, the basic theory of generalized Witt vectors is developed from the point of view of commuting Frobenius lifts and their universal properties, which is a new approach even for the classical Witt vectors.
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Book
Algebraic Number Theory
TL;DR: The second edition of Lang's well-known textbook as mentioned in this paper contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties.
Book ChapterDOI
Characters and cohomology of finite groups
TL;DR: In this article, the authors present a legal opinion on the use of commercial or impression systématiques in the context of the publication of books of the I.H.É.S.
Journal ArticleDOI
Group representations, λ-rings and the J-homomorphism
TL;DR: In this paper, the authors apply the work of J. F. Adams on the groups J(X) to the case where Xis the classifying space B, of a finite group G. Since Adams' calculations apply only to a finite complex X, and B, is infinite, the results could not be applied directly.