Arithmetic of Higher-Dimensional Algebraic Varieties (Hardcover)

Bjorn Poonen

ISBN 10: 081763259X / ISBN 13: 9780817632595

Edité par Birkhauser Boston Inc, Secaucus, 2003

A propos de cet article

Hardcover. One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and etale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory.This text, which focuses on higher dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

N° de réf. du vendeur 9780817632595

Détails bibliographiques

• Titre: Arithmetic of Higher-Dimensional Algebraic Varieties (Hardcover)
• Éditeur: Birkhauser Boston Inc, Secaucus
• Date de parution: 2003
• Langue: anglais
• ISBN à 10 chiffres: 081763259X
• ISBN à 13 chiffres: 9780817632595
• Reliure: Hardcover
• Édition: Edition originale
• État de l'article: new

A propos de ce titre

Synopsis

This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be successfully employed in the study of rational and integral points. This book will be very valuable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to pursue research in this area.