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Collected Works of John Tate: Part II (1976–2006)
 
John Tate Harvard University, Cambridge, MA
Edited by: Barry Mazur Harvard University, Cambridge, MA
John Tate University of Texas, Austin, TX
Jean-Pierre Serre Collège de France, Paris, France
Collected Works of John Tate
Hardcover ISBN:  978-0-8218-9093-6
Product Code:  CWORKS/24.2
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3023-8
Product Code:  CWORKS/24.2.E
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
Hardcover ISBN:  978-0-8218-9093-6
eBook: ISBN:  978-1-4704-3023-8
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
Collected Works of John Tate
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Collected Works of John Tate: Part II (1976–2006)
John Tate Harvard University, Cambridge, MA
Edited by: Barry Mazur Harvard University, Cambridge, MA
John Tate University of Texas, Austin, TX
Jean-Pierre Serre Collège de France, Paris, France
Hardcover ISBN:  978-0-8218-9093-6
Product Code:  CWORKS/24.2
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3023-8
Product Code:  CWORKS/24.2.E
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
Hardcover ISBN:  978-0-8218-9093-6
eBook ISBN:  978-1-4704-3023-8
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 Details
     
     
    Collected Works
    Volume: 242016; 751 pp
    MSC: 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.

    Readership

    Graduate 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 Harish-Satake transform on 𝐺𝐿ᵣ
    • 52. Brumer-Stark-Stickelberger
    • 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 𝐾₂-traces
    • 57. Canonical height pairings via biextensions
    • 58. On 𝑝-adic analogues of the conjectures of Birch and Swinnerton-Dyer
    • 59. Refined conjectures of the “Birch and Swinnerton-Dyer type”
    • 60. Commentary on algebra
    • 61. Some algebras associated to automorphisms of elliptic curves
    • 62. The 𝑝-adic sigma function
    • 63. Quantum deformations of 𝐺𝐿_{𝑛}
    • 64. Modules over regular algebras of dimension 3
    • 65. Conjectures on algebraic cycles in ℓ-adic cohomology
    • 66. The center of the 3-dimensional and 4-dimensional Sklyanin algebras
    • 67. The non-existence of certain Galois extensions of ℚ unramified outside 2
    • 68. The centers of 3-dimensional Sklyanin algebras
    • 69. A review of non-Archimedean elliptic functions
    • 70. Homological properties of Sklyanin algebras
    • 71. Linear forms in 𝑝-adic roots of unity
    • 72. Finite flat group schemes
    • 73. Bernard Dwork (1923-1998)
    • 74. Galois cohomology
    • 75. On a conjecture of Finotti
    • 76. Refining Gross’s conjecture on the values of abelian 𝐿-functions
    • 77. On the Jacobians of plane cubics
    • 78. Computation of 𝑝-adic 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
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 242016; 751 pp
MSC: 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.

Readership

Graduate students and research mathematicians interested in algebraic geometry and number theory.

This item is also available as part of a set:
  • 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 Harish-Satake transform on 𝐺𝐿ᵣ
  • 52. Brumer-Stark-Stickelberger
  • 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 𝐾₂-traces
  • 57. Canonical height pairings via biextensions
  • 58. On 𝑝-adic analogues of the conjectures of Birch and Swinnerton-Dyer
  • 59. Refined conjectures of the “Birch and Swinnerton-Dyer type”
  • 60. Commentary on algebra
  • 61. Some algebras associated to automorphisms of elliptic curves
  • 62. The 𝑝-adic sigma function
  • 63. Quantum deformations of 𝐺𝐿_{𝑛}
  • 64. Modules over regular algebras of dimension 3
  • 65. Conjectures on algebraic cycles in ℓ-adic cohomology
  • 66. The center of the 3-dimensional and 4-dimensional Sklyanin algebras
  • 67. The non-existence of certain Galois extensions of ℚ unramified outside 2
  • 68. The centers of 3-dimensional Sklyanin algebras
  • 69. A review of non-Archimedean elliptic functions
  • 70. Homological properties of Sklyanin algebras
  • 71. Linear forms in 𝑝-adic roots of unity
  • 72. Finite flat group schemes
  • 73. Bernard Dwork (1923-1998)
  • 74. Galois cohomology
  • 75. On a conjecture of Finotti
  • 76. Refining Gross’s conjecture on the values of abelian 𝐿-functions
  • 77. On the Jacobians of plane cubics
  • 78. Computation of 𝑝-adic 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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