1,701 research outputs found

    On ramification theory in the imperfect residue field case

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    We consider the class of complete discretely valued fields such that the residue field is of prime characteristic p and the cardinality of a pp-base is 1. This class includes two-dimensional local and local-global fields. A new definition of ramification filtration for such fields is given. It appears that a Hasse-Herbrand type functions can be defined with all the usual properties. Therefore, a theory of upper ramification groups, as well as the ramification theory of infinite extensions, can be developed. Next, we consider an equal characteristic two-dimensional local field KK. We introduce some filtration on the second K-group of a given field. This filtration is other than the filtration induced by the valuation. We prove that the reciprocity map of two-dimensional local class field theory identifies this filtration with the ramification filtration.Comment: This is a corrected and extended version of my 1998 Nottingham preprint; many details are added. AmSTeX, 28 pages. To appear in Proceedings of the conference "Ramification theory of arithmetic schemes" (Luminy, 1999

    Explicit abelian extensions of complete discrete valuation fields

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    Implementation of integral telecommunication environment for harmonised air traffic control with scalable flight display systems

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    Creation of digital a telecommunication environment requires the integration of satellite and wideband wireless communication facilities into a single telecommunication system and development of hardware and software for formation and transmission of multimedia traffic in real time for harmonised air traffic control with scalable flight display systems. Given article is devoted to integral telecommunication environment for navigation and communication with fundamentally new flight display systems. Santrauka Skaitmeninei telekomunikacinei aplinkai sukurti reikalingas ne tik palydoviniu ir plačiajuostes bevieles telekomunikacines irangos integravimas I viena telekomunikacine sistema, bet taip pat ir technines bei programines irangos vystymas, siekiant sukurti ir perduoti realaus laiko multimedini eisma tam, kad būtu harmonizuotas skrydžiu valdymas su ivairaus pajegumo skrydžiu valdymo vaizduoklio sistemomis. Nagrinejama integrali telekomunikacine sistema, kuri skirta naujus skrydžio valdymo vaizduoklius naudojančiai navigacijai ir telekomunikacijai. First Publish Online: 10 Feb 2011 Reikšminiai žodžiai: telekomunikacine aplinka, multimedinis eismas, medijos objektai, specializuota programine iranga, sasaj

    Nod-Factor Signaling in Legume-Rhizobial Symbiosis

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    Leguminous plants (or Legumes, family Fabaceae) are known to form symbioses with extremely broad range of beneficial soil microorganisms (BSM), representing examples of almost all plant-microbe mutualistic systems. One of the most ecologically important and well-studied legume beneficial symbioses is root nodule (RN) symbiosis (symbiotic association with nitrogen-fixing bacteria). Compared with other interactions of legumes with BSM, RN symbioses demonstrate high level of genetic and metabolic integrity, which implies, inter alia, highly specific mutual recognition of partners. In this chapter, we describe the mechanisms of plant-microbe recognition during initial steps of RN symbiosis using the interaction of model legumes - pea (Pisum sativum L.), barrel medic (Medicago truncatula Gaertn.) and Lotus japonicus (Regel.) K. Larsen - with rhizobia as an example. We paid particular attention to symbiotic system of P. sativum since pea, besides its importance as a model object of genetics, is also a valuable crop plant. Hence, in conclusion, we discuss the potential to use obtained knowledge for optimizing the broad spectrum of plant adaptive functions and to improve the sustainability of legume crop production
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