تقرير
The conjectures of Artin-Tate and Birch-Swinnerton-Dyer
| العنوان: | The conjectures of Artin-Tate and Birch-Swinnerton-Dyer |
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| المؤلفون: | Lichtenbaum, S., Ramachandran, N., Suzuki, T. |
| المصدر: | Ãpijournal de Géométrie Algébrique, Volume 6 (March 28, 2022) epiga:7482 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry |
| الوصف: | 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 group. Comment: 18 pages, final version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.46298/epiga.2022.7482 |
| URL الوصول: | http://arxiv.org/abs/2101.10222 |
| رقم الأكسشن: | edsarx.2101.10222 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.46298/epiga.2022.7482 |
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