Del 6 i serien Aspects of Mathematics

Rational Points

Seminar Bonn/Wuppertal 1983/84

Häftad, Engelska, 2013

AvGerd Faltings,Gisbert Wüstholz

729 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

729 kr

Skickas inom 10-15 vardagar

This book consists of the notes from the seminar Bonn/ Wuppertal 1983/ 84 on Arithmetic Geometry. It contains a proof for the Mordell conjecture and may be useful as an introduction to Arakelov's point of view in diophantine geometry. The third edition includes an appendix in which a detailed survey on the spectacular recent developments in arithmetic algebraic geometry is given. These beautiful new results have their roots in the material covered by this book.

Produktinformation

Utgivningsdatum2013-11-20
Mått162 x 229 x 18 mm
Vikt508 g
FormatHäftad
SpråkEngelska
SerieAspects of Mathematics
Antal sidor312
Upplaga3
FörlagSpringer Fachmedien Wiesbaden
ISBN9783322803429

Tillhör följande kategorier

I: Moduli Spaces.- § 1 Introduction.- § 2 Generalities about moduli spaces.- § 3 Examples.- § 4 Metrics with logarithmic singularities.- § 5 The minimal compactification of Ag/?.- § 8 The toroidal compactification.- II: Heights.- § 1 The definition.- § 2 Néron-Tate heights.- § 3 Heights on the moduli space.- § 4 Applications.- III: Some Facts from the Theory of Group Schemes.- § 0 Introduction.- § 1 Generalities on group schemes.- § 2 Finite group schemes.- § 3 p-divisible groups.- § 4 A theorem of Raynaud.- § 5 A theorem of Tate.- IV: Tate’s Conjecture on the Endomorphisms of Abelian Varieties.- § 1 Statements.- § 2 Reductions.- § 3 Heights.- § 4 Variants.- V: The Finiteness Theorems of Faltings.- § 1 Introduction.- § 2 The finiteness theorem for isogeny classes.- § 3 The finiteness theorem for isomorphism classes.- § 4 Proof of Mordell’s conjecture.- § 5 Siegel’s Theorem on integer points.- VI: Complements to Mordell.- § 1 Introduction.- § 2 Preliminaries.- § 3 The Tate conjecture.-§ 4 The Shafarevich conjecture.- § 5 Endomorphisms.- § 6 Effectivity.- VII: Intersection Theory on Arithmetic Surfaces.- § 0 Introduction.- § 1 Hermitian line bundles.- § 2 Arakelov divisors and intersection theory.- § 3 Volume forms on IR?(X, ?).- § 4 Riemann Roch.- § 5 The Hodge index theorem.- Appendix: New Developments in Diophantine and Arithmetic Algebraic Geometry (Gisbert Wüstholz).- § 2 The transcendental approach.- § 3 Vojta’s approach.- § 4 Arithmetic Riemann-Roch Theorem.- § 5 Applications in Arithmetic.- § 6 Small sections.- § 7 Vojta’s proof in the number field case.- § 8 Lang’s conjecture.- § 9 Proof of Faltings’ theorem.- § 10 An elementary proof of Mordell’s conjecture.- § 11 ?-adic representations attached to abelian varieties.

Mer från samma författare

Lectures on the Arithmetic Riemann-Roch Theorem

Gerd Faltings

Häftad, 1992

1 429 kr

Del 420

Arithmetic and Geometry

Luis Dieulefait, Gerd Faltings, D. R. Heath-Brown, Yu. V. Manin, B. Z. Moroz, Jean-Pierre Wintenberger

Häftad, 2015

1 699 kr

Arbeitstagung Bonn 2013

Werner Ballmann, Christian Blohmann, Gerd Faltings, Peter Teichner, Don Zagier

Inbunden, 2016

1 719 kr

Arbeitstagung Bonn 2013

Werner Ballmann, Christian Blohmann, Gerd Faltings, Peter Teichner, Don Zagier

Häftad, 2018

1 719 kr

Rational Points

Gerd Faltings

Häftad, 1984

739 kr

Del 22

Degeneration of Abelian Varieties

Gerd Faltings, Ching-Li Chai

Inbunden, 1991

2 009 kr

Del 22

Degeneration of Abelian Varieties

Gerd Faltings, Ching-Li Chai

Häftad, 2010

2 009 kr

Mer från samma serie

Del 36

Frobenius Manifolds

Claus Hertling, Matilde Marcolli

Häftad, 2012

1 579 kr

Del 27

Lie Group Actions in Complex Analysis

Dimitrij Akhiezer

Häftad, 2011

649 kr

Del 21

Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm

Hirotaka Fujimoto

Häftad, 2013

729 kr

Del 28

Singular Nonlinear Partial Differential Equations

Raymond Gérard, Hidetoshi Tahara, Raymond Gérard, Hidetoshi Tahara

Häftad, 2011

1 439 kr

Seminar on New Results in Nonlinear Partial Differential Equations

Anthony Tromba, Friedrich Hirzebruch

Häftad, 2012

1 439 kr

Complex Analysis

Klas Diederich

Häftad, 2012

1 439 kr

Del 16

From Gauss to Painlevé

Katsunori Iwasaki, Hironobu Kimura, Shun Shimemura, Masaaki Yoshida

Häftad, 2012

2 009 kr

Del 32

Hypergeometric Functions, My Love

Masaaki Yoshida

Häftad, 2013

1 079 kr

Del 29

Ball and Surface Arithmetics

Rolf-Peter Holzapfel

Häftad, 2012

729 kr

Del 33

Moduli of Curves and Abelian Varieties

Carel Faber, Eduard Looijenga

Häftad, 2012

729 kr

Du kanske också är intresserad av

Del 2

Rational Points

Gerd Faltings, Gisbert Wüstholz, Gerd Faltings, Gisbert Wüstholz

Häftad, 1986

729 kr

Arbeitstagung Bonn 2013

Werner Ballmann, Christian Blohmann, Gerd Faltings, Peter Teichner, Don Zagier

Häftad, 2018

1 719 kr

Del 420

Arithmetic and Geometry

Luis Dieulefait, Gerd Faltings, D. R. Heath-Brown, Yu. V. Manin, B. Z. Moroz, Jean-Pierre Wintenberger

Häftad, 2015

1 699 kr

Übungen zur Algebra

Clemens Fuchs, Gisbert Wüstholz

Häftad, 2013

479 kr

Arithmetic and Geometry

Gisbert Wüstholz, Clemens Fuchs

Häftad, 2019

969 kr

Del 22

Degeneration of Abelian Varieties

Gerd Faltings, Ching-Li Chai

Inbunden, 1991

2 009 kr

Del 22

Degeneration of Abelian Varieties

Gerd Faltings, Ching-Li Chai

Häftad, 2010

2 009 kr

Lectures on the Arithmetic Riemann-Roch Theorem

Gerd Faltings

Häftad, 1992

1 429 kr

Rational Points

Gerd Faltings

Häftad, 1984

739 kr

Arbeitstagung Bonn 2013

Werner Ballmann, Christian Blohmann, Gerd Faltings, Peter Teichner, Don Zagier

Inbunden, 2016

1 719 kr

Del 6 i serien Aspects of Mathematics

Rational Points

Seminar Bonn/Wuppertal 1983/84

Häftad, Engelska, 2013

AvGerd Faltings,Gisbert Wüstholz

729 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

729 kr

Skickas inom 10-15 vardagar

Produktinformation

Utgivningsdatum2013-11-20
Mått162 x 229 x 18 mm
Vikt508 g
FormatHäftad
SpråkEngelska
SerieAspects of Mathematics
Antal sidor312
Upplaga3
FörlagSpringer Fachmedien Wiesbaden
ISBN9783322803429

Tillhör följande kategorier

I: Moduli Spaces.- § 1 Introduction.- § 2 Generalities about moduli spaces.- § 3 Examples.- § 4 Metrics with logarithmic singularities.- § 5 The minimal compactification of Ag/?.- § 8 The toroidal compactification.- II: Heights.- § 1 The definition.- § 2 Néron-Tate heights.- § 3 Heights on the moduli space.- § 4 Applications.- III: Some Facts from the Theory of Group Schemes.- § 0 Introduction.- § 1 Generalities on group schemes.- § 2 Finite group schemes.- § 3 p-divisible groups.- § 4 A theorem of Raynaud.- § 5 A theorem of Tate.- IV: Tate’s Conjecture on the Endomorphisms of Abelian Varieties.- § 1 Statements.- § 2 Reductions.- § 3 Heights.- § 4 Variants.- V: The Finiteness Theorems of Faltings.- § 1 Introduction.- § 2 The finiteness theorem for isogeny classes.- § 3 The finiteness theorem for isomorphism classes.- § 4 Proof of Mordell’s conjecture.- § 5 Siegel’s Theorem on integer points.- VI: Complements to Mordell.- § 1 Introduction.- § 2 Preliminaries.- § 3 The Tate conjecture.-§ 4 The Shafarevich conjecture.- § 5 Endomorphisms.- § 6 Effectivity.- VII: Intersection Theory on Arithmetic Surfaces.- § 0 Introduction.- § 1 Hermitian line bundles.- § 2 Arakelov divisors and intersection theory.- § 3 Volume forms on IR?(X, ?).- § 4 Riemann Roch.- § 5 The Hodge index theorem.- Appendix: New Developments in Diophantine and Arithmetic Algebraic Geometry (Gisbert Wüstholz).- § 2 The transcendental approach.- § 3 Vojta’s approach.- § 4 Arithmetic Riemann-Roch Theorem.- § 5 Applications in Arithmetic.- § 6 Small sections.- § 7 Vojta’s proof in the number field case.- § 8 Lang’s conjecture.- § 9 Proof of Faltings’ theorem.- § 10 An elementary proof of Mordell’s conjecture.- § 11 ?-adic representations attached to abelian varieties.