Results 21 to 30 of about 73,247 (194)

Springer's theorem for tame quadratic forms over Henselian fields [PDF]

open access: yes, 2010
A quadratic form over a Henselian-valued field of arbitrary residue characteristic is tame if it becomes hyperbolic over a tamely ramified extension. The Witt group of tame quadratic forms is shown to be canonically isomorphic to the Witt group of graded
Elomary, Mohamed Abdou   +1 more
core   +2 more sources

Universal deformation rings and tame blocks [PDF]

open access: yes, 2013
Let k be an algebraically closed field of positive characteristic, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group and B is a block of kG of infinite tame representation type. We find all finitely generated kG-modules V
B. Schaefer   +3 more
core   +1 more source

Witt groups of sheaves on topological spaces

open access: yes, 2007
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
core   +2 more sources

Witt rings and matroids [PDF]

open access: yesProceedings of the American Mathematical Society, 2012
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

Almost purity and overconvergent Witt vectors [PDF]

open access: yes, 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 big de Rham-Witt complex

open access: yes, 2014
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

Counting Witt Rings

open access: yesJournal of Algebra, 1998
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

Noetherian properties of Fargues-Fontaine curves [PDF]

open access: yes, 2015
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.
core   +1 more source

In Vivo and In Vitro Evaluation of PTeCA (1H‐Pyrrole‐2,3,4,5‐Tetracarboxylic Acid) in Hair Matrix as a Marker for Oxidative Cosmetic Treatment

open access: yesDrug Testing and Analysis, EarlyView.
A total of 3378 self‐reported treated and untreated hair samples were analyzed for PTCA and PTeCA by LC‐MS/MS. Moreover, their in vitro formation was assessed in 225 untreated hair by different cosmetic treatments with and without oxidative agents. Data suggest that PTeCA could be a reliable marker for oxidative cosmetic treatments in hair.
Sara Casati   +8 more
wiley   +1 more source

Witt groups of Grassmann varieties

open access: yes, 2012
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
core   +1 more source

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