کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4594919 1335788 2008 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Complex multiplication and parity in Iwasawa theory
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Complex multiplication and parity in Iwasawa theory
چکیده انگلیسی

We give a new, somewhat elementary method for proving parity results about Iwasawa-theoretic Selmer groups and apply our method to certain Galois representations which are not self-dual. The main result is essentially that Iwasawa's λ-invariants for these representations over dihedral -extensions are even. Our approach is a specialization argument and does not make use of Nekovář's deformation-theoretic Cassels pairing, though Nekovář's theory implies our results. Examples of the representations we consider arise naturally in the study of CM abelian varieties defined over the totally real subfield of the reflex field of the CM type. We also discuss connections with “large Selmer rank” in the sense of Mazur–Rubin and give several examples in the context of abelian varieties and modular forms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 128, Issue 9, September 2008, Pages 2634-2654