INDECOMPOSABLE AND NONCROSSED PRODUCT DIVISION ALGEBRAS OVER FUNCTION FIELDS OF SMOOTH p-ADIC CURVES
نویسندگان
چکیده
We construct indecomposable and noncrossed product division algebras over function fields of smooth curves X over Zp. This is done by defining an index preserving morphism s : Br(K̂(X)) → Br(K(X)) which splits res : Br(K(X)) → Br(K̂(X)), where K̂(X) is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over K̂(X).
منابع مشابه
Noncrossed Product Division Algebras with a Baer Ordering
Let n | m be positive integers with the same prime factors, such that p3 | n for some prime p. We construct a noncrossed product division algebra D with involution ∗, of index m and exponent n, such that D possesses a Baer ordering relative to the involution ∗. Using similar techniques we construct indecomposable division algebras with involution possessing a Baer
متن کاملGains from diversification on convex combinations: A majorization and stochastic dominance approach
By incorporating both majorization theory and stochastic dominance theory, this paper presents a general theory and a unifying framework for determining the diversification preferences of risk-averse investors and conditions under which they would unanimously judge a particular asset to be superior. In particular, we develop a theory for comparing the preferences of different convex combination...
متن کاملImproved immunogenicity of tetanus toxoid by Brucella abortus S19 LPS adjuvant.
BACKGROUND Adjuvants are used to increase the immunogenicity of new generation vaccines, especially those based on recombinant proteins. Despite immunostimulatory properties, the use of bacterial lipopolysaccharide (LPS) as an adjuvant has been hampered due to its toxicity and pyrogenicity. Brucella abortus LPS is less toxic and has no pyrogenic properties compared to LPS from other gram negati...
متن کاملSteady electrodiffusion in hydrogel-colloid composites: macroscale properties from microscale electrokinetics.
A rigorous microscale electrokinetic model for hydrogel-colloid composites is adopted to compute macroscale profiles of electrolyte concentration, electrostatic potential, and hydrostatic pressure across membranes that separate electrolytes with different concentrations. The membranes are uncharged polymeric hydrogels in which charged spherical colloidal particles are immobilized and randomly d...
متن کاملPerturbative Analysis of Dynamical Localisation
In this paper we extend previous results on convergent perturbative solutions of the Schrödinger equation of a class of periodically timedependent two-level systems. The situation treated here is particularly suited for the investigation of two-level systems exhibiting the phenomenon of (approximate) dynamical localisation. We also present a convergent perturbative expansion for the secular fre...
متن کامل