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Start Over Author "Longhi, Ignazio" Journal transactions of the american mathematical society
3 results on '"Longhi, Ignazio"'

3. PONTRYAGIN DUALITY FOR IWASAWA MODULES AND ABELIAN VARIETIES.

Author

KING FAI LAI, LONGHI, IGNAZIO, KI-SENG TAN, and TRIHAN, FABIEN

Subjects
*PONTRYAGIN duality, *IWASAWA theory, *MODULES (Algebra), *ABELIAN varieties, *FINITE fields
Abstract

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]

Published
2018
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