Euler Systems. (AM-147), Volume 147 PDF Download
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Author: Karl Rubin
Publisher: Princeton University Press
ISBN: 1400865204
Category : Mathematics
Languages : en
Pages : 241
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Book Description
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic Geometry, Euler systems should be a powerful tool in the future development of the field. Here, in the first book to appear on the subject, Karl Rubin presents a self-contained development of the theory of Euler systems. Rubin first reviews and develops the necessary facts from Galois cohomology. He then introduces Euler systems, states the main theorems, and develops examples and applications. The remainder of the book is devoted to the proofs of the main theorems as well as some further speculations. The book assumes a solid background in algebraic Number Theory, and is suitable as an advanced graduate text. As a research monograph it will also prove useful to number theorists and researchers in Arithmetic Algebraic Geometry.
Author: Karl Rubin
Publisher: Princeton University Press
ISBN: 1400865204
Category : Mathematics
Languages : en
Pages : 241
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Book Description
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic Geometry, Euler systems should be a powerful tool in the future development of the field. Here, in the first book to appear on the subject, Karl Rubin presents a self-contained development of the theory of Euler systems. Rubin first reviews and develops the necessary facts from Galois cohomology. He then introduces Euler systems, states the main theorems, and develops examples and applications. The remainder of the book is devoted to the proofs of the main theorems as well as some further speculations. The book assumes a solid background in algebraic Number Theory, and is suitable as an advanced graduate text. As a research monograph it will also prove useful to number theorists and researchers in Arithmetic Algebraic Geometry.
Author: Karl Rubin
Publisher:
ISBN:
Category : Algebraic number theory
Languages : en
Pages : 227
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Book Description
Author: Sylvain Cappell
Publisher: Princeton University Press
ISBN: 9780691088143
Category :
Languages : en
Pages : 452
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Book Description
Author: Jean Bourgain
Publisher: Princeton University Press
ISBN: 1400827795
Category : Mathematics
Languages : en
Pages : 309
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Book Description
This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.
Author: Carlos Ariel Cardona Alzate
Publisher: CRC Press
ISBN: 1000751252
Category : Science
Languages : en
Pages : 157
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Book Description
This book describes, analyses and discusses the main principles, phenomena and design strategies of reactive separation processes with an emphasis on the intensification as a basis of the sustainability. Different reactive separation processes are explained in detail to show the phenomena and with the purpose of understanding when their use allows advantages based on the output results. Case examples are analysed and the perspective of these processes in the future is discussed. The overall sustainability of reactive separation processes in the industry is also explained separately.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 560
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Book Description
Author: Abel Lajtha
Publisher: Springer Science & Business Media
ISBN: 1461571634
Category : Medical
Languages : en
Pages : 530
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Book Description
The explosive accumulation of new knowledge in the biological sciences in the last decades has advanced our understanding of the basic mechanisms that underlie most biological phenomena. These advances, however, have not been uniform but have varied considerably among the different biological problems. In some cases, e.g., biochemical genetics, radical advances have been made which have changed our ideas and our approaches. In other cases, even with work which has yielded much detailed new knowledge, our under standing of basic mechanisms remains very inadequate. Among the lines of work that have not yet led to dramatic conceptual advances is the problem of control of biological activities. This problem is, of course, basic both to any full understanding of life as a whole, and to any real understanding of its most minute phenomena. Indeed, the myriad of biological activities that we can observe by direct or indirect means are all under the sway of most exquisitely precise mechanisms. Any malfunctioning of these mechanisms has serious consequences, not only for the particular function itself, but for all the related and interlinked activities.
Author:
Publisher: Universities Press
ISBN: 9788173714931
Category : Structural engineering
Languages : en
Pages : 412
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Book Description
This book contains state-of-the-art review articles on specific research areas in the civil engineering discipline-the areas include geotechnical engineering, hydraulics and water resources engineering, and structural engineering. The articles are written by invited authors who are currently active at the international level in their respective research fields.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1186
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Book Description
![A catalogue of the library of the Athenæum. [With] Suppl. 1,2 [and] additions to the library. 1859-93/95 PDF](https://books.google.com/books/content/images/frontcover/7hMIAAAAQAAJ?fife=w80-h100)
Author: Athenaeum club libr
Publisher:
ISBN:
Category :
Languages : en
Pages : 548
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