The conjectures of Artin-Tate and Birch-Swinnerton-Dyer
We provide two proofs that the conjecture of Artin-Tate for a fibered surface is equivalent to the conjecture of Birch-Swinnerton-Dyer for the Jacobian of the generic fibre. As a byproduct, we obtain a new proof of a theorem of Geisser relating the orders of the Brauer group and the Tate-Shafarevich...
| Published in: | Épijournal de Géométrie Algébrique |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Association Epiga
2022-03-01
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| Subjects: | |
| Online Access: | https://epiga.episciences.org/7482/pdf |