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List Price:  $175.00 
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Hardcover ISBN:  9780821890936 
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Hardcover ISBN:  9780821890936 
Product Code:  CWORKS/24.2 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470430238 
Product Code:  CWORKS/24.2.E 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
Hardcover ISBN:  9780821890936 
eBook ISBN:  9781470430238 
Product Code:  CWORKS/24.2.B 
List Price:  $350.00 $262.50 
MAA Member Price:  $315.00 $236.25 
AMS Member Price:  $280.00 $210.00 

Book DetailsCollected WorksVolume: 24; 2016; 751 ppMSC: Primary 01; 11; 14
In these volumes, a reader will find all of John Tate's published mathematical papers—spanning more than six decades—enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.
ReadershipGraduate students and research mathematicians interested in algebraic geometry and number theory.
This item is also available as part of a set: 
Table of Contents

Cover

Title page

Photos

Contents

Foreword

Preface

Permissions and acknowledgments

Curriculum vitae

List of former students

44. Problem 9: The general reciprocity law

45. Relations between 𝐾₂ and Galois cohomology

46. Local constants

47. On the torsion in 𝐾₂ of fields

48. Fields medals (IV): An instinct for the key idea

49. A simple proof of the main theorem of elimination theory in algebraic geometry

50. Number theoretic background

51. The HarishSatake transform on 𝐺𝐿ᵣ

52. BrumerStarkStickelberger

53. On conjugation of abelian varieties of CM type

54. On Stark’s conjectures on the behavior of 𝐿(𝑠,𝜒) at 𝑠=0

55. Variation of the canonical height of a point depending on a parameter

56. A reciprocity law for 𝐾₂traces

57. Canonical height pairings via biextensions

58. On 𝑝adic analogues of the conjectures of Birch and SwinnertonDyer

59. Refined conjectures of the “Birch and SwinnertonDyer type”

60. Commentary on algebra

61. Some algebras associated to automorphisms of elliptic curves

62. The 𝑝adic sigma function

63. Quantum deformations of 𝐺𝐿_{𝑛}

64. Modules over regular algebras of dimension 3

65. Conjectures on algebraic cycles in ℓadic cohomology

66. The center of the 3dimensional and 4dimensional Sklyanin algebras

67. The nonexistence of certain Galois extensions of ℚ unramified outside 2

68. The centers of 3dimensional Sklyanin algebras

69. A review of nonArchimedean elliptic functions

70. Homological properties of Sklyanin algebras

71. Linear forms in 𝑝adic roots of unity

72. Finite flat group schemes

73. Bernard Dwork (19231998)

74. Galois cohomology

75. On a conjecture of Finotti

76. Refining Gross’s conjecture on the values of abelian 𝐿functions

77. On the Jacobians of plane cubics

78. Computation of 𝑝adic heights and log convergence

Letters

L19. Letter to Serre (1979/10/1)

L20. Letter to Serre (1979/10/12)

L21. Letter to Serre (1979/11/7)

Back Cover


Additional Material

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 Book Details
 Table of Contents
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In these volumes, a reader will find all of John Tate's published mathematical papers—spanning more than six decades—enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.
Graduate students and research mathematicians interested in algebraic geometry and number theory.

Cover

Title page

Photos

Contents

Foreword

Preface

Permissions and acknowledgments

Curriculum vitae

List of former students

44. Problem 9: The general reciprocity law

45. Relations between 𝐾₂ and Galois cohomology

46. Local constants

47. On the torsion in 𝐾₂ of fields

48. Fields medals (IV): An instinct for the key idea

49. A simple proof of the main theorem of elimination theory in algebraic geometry

50. Number theoretic background

51. The HarishSatake transform on 𝐺𝐿ᵣ

52. BrumerStarkStickelberger

53. On conjugation of abelian varieties of CM type

54. On Stark’s conjectures on the behavior of 𝐿(𝑠,𝜒) at 𝑠=0

55. Variation of the canonical height of a point depending on a parameter

56. A reciprocity law for 𝐾₂traces

57. Canonical height pairings via biextensions

58. On 𝑝adic analogues of the conjectures of Birch and SwinnertonDyer

59. Refined conjectures of the “Birch and SwinnertonDyer type”

60. Commentary on algebra

61. Some algebras associated to automorphisms of elliptic curves

62. The 𝑝adic sigma function

63. Quantum deformations of 𝐺𝐿_{𝑛}

64. Modules over regular algebras of dimension 3

65. Conjectures on algebraic cycles in ℓadic cohomology

66. The center of the 3dimensional and 4dimensional Sklyanin algebras

67. The nonexistence of certain Galois extensions of ℚ unramified outside 2

68. The centers of 3dimensional Sklyanin algebras

69. A review of nonArchimedean elliptic functions

70. Homological properties of Sklyanin algebras

71. Linear forms in 𝑝adic roots of unity

72. Finite flat group schemes

73. Bernard Dwork (19231998)

74. Galois cohomology

75. On a conjecture of Finotti

76. Refining Gross’s conjecture on the values of abelian 𝐿functions

77. On the Jacobians of plane cubics

78. Computation of 𝑝adic heights and log convergence

Letters

L19. Letter to Serre (1979/10/1)

L20. Letter to Serre (1979/10/12)

L21. Letter to Serre (1979/11/7)

Back Cover