التفاصيل البيبلوغرافية
| العنوان: |
PONTRYAGIN DUALITY FOR IWASAWA MODULES AND ABELIAN VARIETIES. |
| المؤلفون: |
KING FAI LAI1 kinglaihonkon@gmail.com, LONGHI, IGNAZIO2 Ignazio.Longhi@xjtlu.edu.cn, KI-SENG TAN3 tan@math.ntu.edu.tw, TRIHAN, FABIEN4 f-trihan-52m@sophia.ac.jp |
| المصدر: |
Transactions of the American Mathematical Society. Mar2018, Vol. 370 Issue 3, p1925-1958. 34p. |
| مصطلحات موضوعية: |
*PONTRYAGIN duality, *IWASAWA theory, *MODULES (Algebra), *ABELIAN varieties, *FINITE fields |
| مستخلص: |
We prove a functional equation for two projective systems of finite abelian p-groups, {an} and {bn}, endowed with an action of ℤpd such that an can be identified with the Pontryagin dual of bn for all n. Let K be a global field. Let L be a ℤpd-extension of K (d ≥ 1), unramified outside a finite set of places. Let A be an abelian variety over K. We prove an algebraic functional equation for the Pontryagin dual of the Selmer group of A. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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