Arithmetic Algebraic Geometry: 89 (Progress in Mathematics) - Tapa blanda

 
9781461267690: Arithmetic Algebraic Geometry: 89 (Progress in Mathematics)
Tapa blanda
ISBN 10: 1461267692 ISBN 13: 9781461267690
Editorial: Birkhäuser, 2012

Sinopsis

Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection.

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De la contraportada

Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps.

Inspired by these exciting developments, the editors organized a meeting at Texel in 1989 and invited a number of mathematicians to write papers for this volume. Some of these papers were presented at the meeting; others arose from the discussions that took place. They were all chosen for their quality and relevance to the application of algebraic geometry to arithmetic problems.

Topics include: arithmetic surfaces, Chjerm functors, modular curves and modular varieties, elliptic curves, Kolyvagin s work, K-theory and Galois representations. Besides the research papers, there is a letter of Parshin and a paper of Zagier with is interpretations of the Birch-Swinnerton-Dyer Conjecture.

Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection.

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Editorial
Birkhäuser
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461267692
ISBN 13 
9781461267690
Encuadernación
Tapa blanda
Número de páginas
460
Editor
Geer, Oort F., Steenbrink J.H.M.
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9780817635138: Arithmetic Algebraic Geometry: 89 (Progress in Mathematics, 89)

Edición Destacada

ISBN 10:  0817635130 ISBN 13:  9780817635138
Editorial: Birkhäuser, 1990
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