Gap-Sheaves and Extension of Coherent Analytic Subsheaves, Yum-Tong Siu; G?nther Trautmann

Автор: Pimentel R.
Название: Mathematics: Extension 8
ISBN: 0521723817 ISBN-13(EAN): 9780521723817
Издательство: Cambridge Academ
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Описание: Cambridge Essentials Mathematics Extension 8 Pupil Book is aimed at National Curriculum Levels 5-7. The book gives a map for the pupil and teacher of how to cover all aspects of the topic whilst focussing on delivering exercises with strong progression. The pupil CD-ROM replicates the book page with buttons acting as links to prior knowledge, keywords and explanations. Functional Maths questions are included at National Curriculum Level 6.

Автор: Brignon
Название: Coherent Laser Beam Combining
ISBN: 352741150X ISBN-13(EAN): 9783527411504
Издательство: Wiley
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Описание: Laser beam combining techniques allow increasing the power of lasers far beyond what it is possible to obtain from a single conventional laser. One step further, coherent beam combining (CBC) also helps to maintain the very unique properties of the laser emission with respect to its spectral and spatial properties.

Автор: H. Grauert; R. Remmert
Название: Coherent Analytic Sheaves
ISBN: 3642695841 ISBN-13(EAN): 9783642695841
Издательство: Springer
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Описание: . . . Je mehr ich tiber die Principien der Functionentheorie nachdenke - und ich thue dies unablassig -, urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func- tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E. N. S.

Автор: R. Kaiser; C. Westbrook; F. David
Название: Coherent atomic matter waves - Ondes de matiere coherentes
ISBN: 364207426X ISBN-13(EAN): 9783642074264
Издательство: Springer
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Описание: Finally, our ability to manipulate atoms has allowed us not only to create macroscopically occupied quantum states but also to exercise fine control over the quantum states of a small number of atoms.

Название: Analytic extension formulas and their applications
ISBN: 1441948546 ISBN-13(EAN): 9781441948540
Издательство: Springer
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Автор: V.D. Golovin
Название: Homology of Analytic Sheaves and Duality Theorems
ISBN: 1468416790 ISBN-13(EAN): 9781468416794
Издательство: Springer
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Описание: The homology of analytic sheaves is a natural apparatus in the theory of duality on complex spaces. The corresponding apparatus in algebraic geometry was developed by Grothendieck in the fifties. In complex ana- lytic geometry the apparatus of homology was missing until recently, and in its stead the hypercohomology of complex sheaves (the hyper-Ext func- tors) and the Aleksandrov-Cech homology with coefficients in co- presheaves were used. The homology of analytic sheaves, sheaves of germs of homology and homology groups of analytic sheaves, were intro- duced and studied in the mid-seventies in a number of papers by the author. The main goal of this book is to give a systematic and detailed account of the homology theory of analytic sheaves and some of its applications to duality theory on complex spaces and to the theory of hyperfunctions. In order to read this book one must be acquainted with the foundations of ho- mological algebra and the theory of topological vector spaces. Only the most elementary concepts and results from the theory of functions of sev- eral complex variables are assumed to be known. The information needed about sheaves and complex spaces is recounted briefly at the beginning of the fIrst chapter. v. D. Golovin v CONTENTS Chapter 1. ANALYTIC SHEA YES .................................... 1 1. Prelirriinary Information .................................... 1 2. Injectivity Test................................................ 16 3. Local Duality . ....... ... ........ ....... ........... ... ... ..... 24 4. Injective and Global Dimension ........................... 36 5. Properties of Fine Sheaves ................................. 46 Chapter 2. HOMOLOGY THEORY ................................ " .. 63 1. Sheaves of Germs of Homology. . . . . . . . . . . . . . .. . . . . . . . . 63 . . .

Автор: Christian Sell; Antonello Lorenzini; Holly M. Brow
Название: Life-Span Extension
ISBN: 1617797472 ISBN-13(EAN): 9781617797477
Издательство: Springer
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Цена: 27951.00 р.
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Описание: In recent years, remarkable discoveries have been made concerning the underlying mechanisms of aging. This multidisciplinary book brings together a range of illuminating perspectives from researchers investigating the aging process in a variety of species.

Автор: Joseph Bernstein; Valery Lunts
Название: Equivariant Sheaves and Functors
ISBN: 3540580719 ISBN-13(EAN): 9783540580713
Издательство: Springer
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Описание: Introducing the equivariant derived category of sheaves, this monograph also provides applications to the equivariant intersection cohomology. This theory should benefit specialists in representation theory, algebraic geometry or topology.

Автор: J. Kroschel
Название: A Technical Manual for Parasitic Weed Research and Extension
ISBN: 0792368800 ISBN-13(EAN): 9780792368809
Издательство: Springer
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Описание: Parasitic weeds of the families Cuscutaceae, Orobanchaceae and Scrophulariaceae are considered to be among the problems facing agriculture in the Tropics and Subtropics. This book attempts to provide different methodologies for research in this field.