Hardcover ISBN: | 978-0-8218-9093-6 |
Product Code: | CWORKS/24.2 |
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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 |
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 |
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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
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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
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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”
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60. Commentary on algebra
-
61. Some algebras associated to automorphisms of elliptic curves
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62. The 𝑝-adic sigma function
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63. Quantum deformations of 𝐺𝐿_{𝑛}
-
64. Modules over regular algebras of dimension 3
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65. Conjectures on algebraic cycles in ℓ-adic cohomology
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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
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72. Finite flat group schemes
-
73. Bernard Dwork (1923-1998)
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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
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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 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