Euler Systems: 147 (Annals of Mathematics Studies) - Tapa blanda

Libro 49 de 202: Annals of Mathematics Studies

Rubin, Karl

 
9780691050768: Euler Systems: 147 (Annals of Mathematics Studies)
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ISBN 10: 0691050767 ISBN 13: 9780691050768
Editorial: Princeton University Press, 2000

Sinopsis

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.

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Acerca del autor

Karl Rubin, Professor of Mathematics at Stanford University, was awarded the Cole Prize of the American Mathematical Society in 1992. He has been a Guggenheim Fellow, a Sloan Fellow, and a National Science Foundation Presidential Young Investigator.

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Editorial
Princeton University Press
Año de publicación
2000
Idioma
Inglés
ISBN 10 
0691050767
ISBN 13 
9780691050768
Encuadernación
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Número de páginas
240
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Alemania

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9780691050751: Euler Systems (Annals of Mathematics Studies, 147)

Edición Destacada

ISBN 10:  0691050759 ISBN 13:  9780691050751
Editorial: Princeton University Press, 2000
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