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On Refined Conjectures of Birch and Swinnerton-Dyer Type for Hasse–Weil–Artin $L$-Series
Daniel Macias Castillo
:
Universidad Autónoma de Madrid, Madrid, Spain and Instituto de Ciencias Matemáticas, Madrid, Spain
| Softcover ISBN: | 978-1-4704-6966-5 |
| Product Code: | MEMO/297/1482 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7830-8 |
| Product Code: | MEMO/297/1482.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6966-5 |
| eBook: ISBN: | 978-1-4704-7830-8 |
| Product Code: | MEMO/297/1482.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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On Refined Conjectures of Birch and Swinnerton-Dyer Type for Hasse–Weil–Artin $L$-Series
Daniel Macias Castillo
:
Universidad Autónoma de Madrid, Madrid, Spain and Instituto de Ciencias Matemáticas, Madrid, Spain
| Softcover ISBN: | 978-1-4704-6966-5 |
| Product Code: | MEMO/297/1482 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7830-8 |
| Product Code: | MEMO/297/1482.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6966-5 |
| eBook ISBN: | 978-1-4704-7830-8 |
| Product Code: | MEMO/297/1482.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 297; 2024; 156 ppMSC: Primary 11
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Table of Contents
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Chapters
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1. Introduction
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2. Selmer complexes
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3. The refined Birch and Swinnerton-Dyer conjecture
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4. Periods and Galois–Gauss sums
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5. Local points on ordinary varieties
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6. Classical Selmer complexes and refined BSD
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7. Euler characteristics and Galois structures
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8. Abelian congruence relations and module structures
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9. Abelian congruence relations and height pairings
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10. Height pairing comparisons
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11. Modular symbols
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12. Heegner points
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A. Refined BSD and equivariant Tamagawa numbers
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B. Poitou–Tate duality
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C. Bockstein homomorphisms
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 297; 2024; 156 pp
MSC: Primary 11
-
Chapters
-
1. Introduction
-
2. Selmer complexes
-
3. The refined Birch and Swinnerton-Dyer conjecture
-
4. Periods and Galois–Gauss sums
-
5. Local points on ordinary varieties
-
6. Classical Selmer complexes and refined BSD
-
7. Euler characteristics and Galois structures
-
8. Abelian congruence relations and module structures
-
9. Abelian congruence relations and height pairings
-
10. Height pairing comparisons
-
11. Modular symbols
-
12. Heegner points
-
A. Refined BSD and equivariant Tamagawa numbers
-
B. Poitou–Tate duality
-
C. Bockstein homomorphisms
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.