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8 produkter

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8 produkter

Del 61 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Rigid Geometry of Curves and Their Jacobians
AvWerner Lütkebohmert
Inbunden, Engelska, 2016
1 516 kr
Skickas inom 10-15 vardagar
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
Rigid Geometry of Curves and Their Jacobians
AvWerner Lutkebohmert
E-bok
PDF, Engelska, 2016
1 886 kr
Läs direkt efter köp
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail.
Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
Del 61 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Rigid Geometry of Curves and Their Jacobians
AvWerner Lütkebohmert
Häftad, Engelska, 2018
1 516 kr
Skickas inom 10-15 vardagar
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
Codierungstheorie
Algebraisch-geometrische Grundlagen und Algorithmen
AvWerner Lutkebohmert
E-bok
PDF, Tyska, 2013
447 kr
Läs direkt efter köp
Codierungstheorie
Algebraisch-geometrische Grundlagen und Algorithmen
AvWerner Lütkebohmert
Häftad, Tyska, 2003
511 kr
Skickas inom 5-8 vardagar
Beginnend mit der Fragestellung nach zuverlässiger Datenübertragung wird die elementare lineare Codierungstheorie dargestellt. Insbesondere wird das Problem der Konstruktion von optimalen Codes herausgearbeitet. Dieses anspruchsvolle Problem wird mit Mitteln der algebraischen Geometrie gelöst. Das Buch liefert einen schnellen elementaren Zugang zu den algebraischen Kurven und führt den Leser an die grundlegenden Sätze von Bezout und Riemann-Roch heran. Weiterhin werden klassische Fragen von E. Artin und A. Weil über die Zetafunktion eines algebraischen Funktionenkörpers ebenfalls vollständig behandelt. Außerdem werden algebraische Kurven über endlichen Körpern mit vielen rationalen Punkten konstruiert. Nach der mehr theoretischen Lösung des Problems optimaler Codes wird abschließend der algorithmische Zugang von der Codierung bis zur Decodierung behandelt.
Del 21 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Néron Models
AvSiegfried Bosch,Werner Lütkebohmertm. fl.
Inbunden, Engelska, 1990
1 839 kr
Skickas inom 10-15 vardagar
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.
Del 21 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Néron Models
AvSiegfried Bosch,Werner Lütkebohmertm. fl.
Häftad, Engelska, 2010
1 839 kr
Skickas inom 10-15 vardagar
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.
Neron Models
AvMichel Raynaud,Werner Lutkebohmertm. fl.
E-bok
PDF, Engelska, 2012
2 359 kr
Läs direkt efter köp
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck''s algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.

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Werner Lütkebohmert – författare

Rigid Geometry of Curves and Their Jacobians

Rigid Geometry of Curves and Their Jacobians

Rigid Geometry of Curves and Their Jacobians

Codierungstheorie

Codierungstheorie

Néron Models

Néron Models

Neron Models

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