A formulation of p-adic versions of the Birch and Swinnerton-Dyer conjectures in the supersingular case
نویسندگان
چکیده
منابع مشابه
Euler Systems and Refined Conjectures of Birch Swinnerton-Dyer Type
The relationship between arithmetic objects (such as global fields, or varieties over global fields) and the analytic properties of their Lfunctions poses many deep and difficult questions. The theme of this paper is the Birch and Swinnerton Dyer conjecture, and certain refinements that were proposed by Mazur and Tate. We will formulate analogues of these conjectures over imaginary quadratic fi...
متن کاملA p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
Mazur, Tate, and Teitelbaum gave a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for elliptic curves. We provide a generalization of their conjecture in the good ordinary case to higher dimensional modular abelian varieties over the rationals by constructing the padic L-function of a modular abelian variety and showing it satisfies the appropriate interpolation property. We descri...
متن کاملON RUBIN’S VARIANT OF THE p-ADIC BIRCH AND SWINNERTON-DYER CONJECTURE II
Let E/Q be an elliptic curve with complex multiplication by the ring of integers of an imaginary quadratic field K. In 1991, by studying a certain special value of the Katz two-variable p-adic L-function lying outside the range of p-adic interpolation, K. Rubin formulated a p-adic variant of the Birch and Swinnerton-Dyer conjecture when E(K) is infinite, and he proved that his conjecture is tru...
متن کاملa case study of the two translators of the holy quran: tahereh saffarzadeh and laleh bakhtiar
بطورکلی، کتاب های مقدسی همچون قران کریم را خوانندگان میتوان مطابق با پیش زمینه های مختلفی که درند درک کنند. محقق تلاش کرده نقش پیش زمینه اجتماعی-فرهنگی را روی ایدئولوژی های مترجمین زن و در نتیجه تاثیراتش را روی خواندن و ترجمه آیات قرآن کریم بررسی کند و ببیند که آیا تفاوت های واژگانی عمده ای میان این مترجمین وجود دارد یا نه. به این منظور، ترجمه 24 آیه از آیات قرآن کریم مورد بررسی مقایسه ای قرار ...
15 صفحه اولThe Birch-swinnerton-dyer Conjecture
We give a brief description of the Birch-Swinnerton-Dyer conjecture which is one of the seven Clay problems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Research in Number Theory
سال: 2015
ISSN: 2363-9555
DOI: 10.1007/s40993-015-0018-2