Articles liés à Quantitative Arithmetic of Projective Varieties
Synopsis
OverthemillenniaDiophantineequationshavesuppliedanextremelyfertilesource ofproblems. Their study hasilluminated everincreasingpoints ofcontactbetween very di?erent subject areas, including algebraic geometry, mathematical logic, - godictheoryandanalyticnumber theory. Thefocus ofthis bookisonthe interface of algebraic geometry with analytic number theory, with the basic aim being to highlight the ro le that analytic number theory has to play in the study of D- phantine equations. Broadly speaking, analytic number theory can be characterised as a subject concerned with counting interesting objects. Thus, in the setting of Diophantine geometry, analytic number theory is especially suited to questions concerning the distribution of integral and rational points on algebraic varieties. Determining the arithmetic of a?ne varieties, both qualitatively and quantitatively, is much more complicated than for projective varieties. Given the breadth of the domain and the inherent di?culties involved, this book is therefore dedicated to an exp- ration of the projective setting. This book is based on a short graduate course given by the author at the I. C. T. P School and Conference on Analytic Number Theory, during the period 23rd April to 11th May, 2007. It is a pleasure to thank Professors Balasubra- nian, Deshouillers and Kowalski for organising this meeting. Thanks are also due to Michael Harvey and Daniel Loughran for spotting several typographical errors in an earlier draft of this book. Over the years, the author has greatly bene?ted fromdiscussing mathematicswithProfessorsde la Bret eche, Colliot-Th el ene, F- vry, Hooley, Salberger, Swinnerton-Dyer and Wooley."
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Quantitative Arithmetic of Projective Varieties
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Birkhäuser Basel, 2009
ISBN 10 : 303460128X
ISBN 13 : 9783034601283
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Couverture rigide
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Winner of the Ferran Sunyer i Balaguer Prize 2009First attempt to systematically survey the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties.Designed to. N° de réf. du vendeur 4317860
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Quantitative Arithmetic of Projective Varieties
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Springer, Basel, Birkhäuser Basel, Birkhäuser Sep 2009, 2009
ISBN 10 : 303460128X
ISBN 13 : 9783034601283
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Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -OverthemillenniaDiophantineequationshavesuppliedanextremelyfertilesource ofproblems. Their study hasilluminated everincreasingpoints ofcontactbetween very di erent subject areas, including algebraic geometry, mathematical logic, - godictheoryandanalyticnumber theory. Thefocus ofthis bookisonthe interface of algebraic geometry with analytic number theory, with the basic aim being to highlight the ro le that analytic number theory has to play in the study of D- phantine equations. Broadly speaking, analytic number theory can be characterised as a subject concerned with counting interesting objects. Thus, in the setting of Diophantine geometry, analytic number theory is especially suited to questions concerning the distribution of integral and rational points on algebraic varieties. Determining the arithmetic of a ne varieties, both qualitatively and quantitatively, is much more complicated than for projective varieties. Given the breadth of the domain and the inherent di culties involved, this book is therefore dedicated to an exp- ration of the projective setting. This book is based on a short graduate course given by the author at the I. C. T. P School and Conference on Analytic Number Theory, during the period 23rd April to 11th May, 2007. It is a pleasure to thank Professors Balasubra- nian, Deshouillers and Kowalski for organising this meeting. Thanks are also due to Michael Harvey and Daniel Loughran for spotting several typographical errors in an earlier draft of this book. Over the years, the author has greatly bene ted fromdiscussing mathematicswithProfessorsde la Bret` eche,Colliot-Th el` ene,F- vry, Hooley, Salberger, Swinnerton-Dyer and Wooley. 160 pp. Englisch. N° de réf. du vendeur 9783034601283
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Quantitative Arithmetic of Projective Varieties (Progress in Mathematics, Vol. 277) (Progress in Mathematics, 277)
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Quantitative Arithmetic of Projective Varieties
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Quantitative Arithmetic of Projective Varieties
Edité par
Birkhäuser Basel, Springer Basel, 2009
ISBN 10 : 303460128X
ISBN 13 : 9783034601283
Neuf
Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - OverthemillenniaDiophantineequationshavesuppliedanextremelyfertiles ource ofproblems. Their study hasilluminated everincreasingpoints ofcontactbetween very di erent subject areas, including algebraic geometry, mathematical logic, - godictheoryandanalyticnumber theory. Thefocus ofthis bookisonthe interface of algebraic geometry with analytic number theory, with the basic aim being to highlight the ro le that analytic number theory has to play in the study of D- phantine equations. Broadly speaking, analytic number theory can be characterised as a subject concerned with counting interesting objects. Thus, in the setting of Diophantine geometry, analytic number theory is especially suited to questions concerning the distribution of integral and rational points on algebraic varieties. Determining the arithmetic of a ne varieties, both qualitatively and quantitatively, is much more complicated than for projective varieties. Given the breadth of the domain and the inherent di culties involved, this book is therefore dedicated to an exp- ration of the projective setting. This book is based on a short graduate course given by the author at the I. C. T. P School and Conference on Analytic Number Theory, during the period 23rd April to 11th May, 2007. It is a pleasure to thank Professors Balasubra- nian, Deshouillers and Kowalski for organising this meeting. Thanks are also due to Michael Harvey and Daniel Loughran for spotting several typographical errors in an earlier draft of this book. Over the years, the author has greatly bene ted fromdiscussing mathematicswithProfessorsde la Bret` eche,Colliot-Th el` ene,F- vry, Hooley, Salberger, Swinnerton-Dyer and Wooley. N° de réf. du vendeur 9783034601283
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Quantitative Arithmetic of Projective Varieties (Progress in Mathematics, Vol. 277) (Progress in Mathematics, 277)
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Quantitative Arithmetic of Projective Varieties
Edité par
Birkhäuser Basel, Springer Basel Sep 2009, 2009
ISBN 10 : 303460128X
ISBN 13 : 9783034601283
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -OverthemillenniaDiophantineequationshavesuppliedanextremelyfertilesource ofproblems. Their study hasilluminated everincreasingpoints ofcontactbetween very di erent subject areas, including algebraic geometry, mathematical logic, - godictheoryandanalyticnumber theory. Thefocus ofthis bookisonthe interface of algebraic geometry with analytic number theory, with the basic aim being to highlight the ro ^le that analytic number theory has to play in the study of D- phantine equations. Broadly speaking, analytic number theory can be characterised as a subject concerned with counting interesting objects. Thus, in the setting of Diophantine geometry, analytic number theory is especially suited to questions concerning the 'distribution' of integral and rational points on algebraic varieties. Determining the arithmetic of a ne varieties, both qualitatively and quantitatively, is much more complicated than for projective varieties. Given the breadth of the domain and the inherent di culties involved, this book is therefore dedicated to an exp- ration of the projective setting. This book is based on a short graduate course given by the author at the I. C. T. P School and Conference on Analytic Number Theory, during the period 23rd April to 11th May, 2007. It is a pleasure to thank Professors Balasubra- nian, Deshouillers and Kowalski for organising this meeting. Thanks are also due to Michael Harvey and Daniel Loughran for spotting several typographical errors in an earlier draft of this book. Over the years, the author has greatly bene ted fromdiscussing mathematicswithProfessorsde la Bret` eche,Colliot-Th¿ el` ene,F- vry, Hooley, Salberger, Swinnerton-Dyer and Wooley.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 180 pp. Englisch. N° de réf. du vendeur 9783034601283
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Quantitative Arithmetic of Projective Varieties
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Quantitative Arithmetic of Projective Varieties
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Quantitative Arithmetic of Projective Varieties (Progress in Mathematics, Vol. 277) (Progress in Mathematics, 277)
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