Results 21 to 30 of about 73,169 (194)
Greenberg algebras and ramified Witt vectors [PDF]
Let O be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism between the Greenberg algebra of O and the special fiber of the scheme of ramified Witt vectors over O.
Bertapelle, Alessandra +1 more
core +4 more sources
The study of Witt rings of formally real fields in the algebraic theory of quadratic forms has led to a particularly good understanding of the finitely generated torsion free Witt rings. In this paper, we work primarily with a somewhat more general class of rings which can be completely characterized by (binary) matroids.
Craven, Thomas C., Kent, Zachary A.
openaire +1 more source
Noetherian properties of Fargues-Fontaine curves [PDF]
We establish that the extended Robba rings associated to a perfect nonarchimedean field of characteristic p, which arise in p-adic Hodge theory as certain completed localizations of the ring of Witt vectors, are strongly noetherian Banach rings; that is,
Kedlaya, Kiran S.
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Finitely generated Witt rings of elementary type with the product operation form a graded structure with the gradation given by the size of the underlying group of square classes. Modifying slightly the setup, the author obtains an almost free graded structure for which it is possible to find an asymptotic estimate for the number of elements with a ...
openaire +1 more source
Witt groups of Grassmann varieties
We compute the total Witt groups of (split) Grassmann varieties, over any regular base X. The answer is a free module over the total Witt ring of X. We provide an explicit basis for this free module, which is indexed by a special class of Young diagrams,
Balmer, Paul, Calmès, Baptiste
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Witt groups of sheaves on topological spaces
This paper investigates the Witt groups of triangulated categories of sheaves (of modules over a ring R in which 2 is invertible) equipped with Poincare-Verdier duality.
Woolf, Jonathan
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On the Witt vector Frobenius [PDF]
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 ...
Davis, Christopher, Kedlaya, Kiran S.
core +2 more sources
Twisted Witt Groups of Flag Varieties [PDF]
Calm\`es and Fasel have shown that the twisted Witt groups of split flag varieties vanish in a large number of cases. For flag varieties over algebraically closed fields, we sharpen their result to an if-and-only-if statement. In particular, we show that
Zibrowius, Marcus
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ABSTRACT Oropharyngeal food processing exhibits a remarkable diversity among vertebrates, reflecting the evolution of specialised ‘processing centres’ associated with the mandibular, hyoid, and branchial arches. Although studies have detailed various food‐processing strategies and mechanisms across vertebrates, a coherent and comprehensive terminology ...
Daniel Schwarz +6 more
wiley +1 more source
This paper gives a new and direct construction of the multi-prime big de Rham-Witt complex which is defined for every commutative and unital ring; the original construction by the author and Madsen relied on the adjoint functor theorem and accordingly ...
Lars Hesselholt, M.F. Atiyah
core +1 more source

