Geodesic
On pseudo-isomorphism classes of tamely ramified Iwasawa modules over imaginary quadratic fields
Takenori Kataoka1
1 Graduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914, Japan
Acta Arithmetica, Tome 180 (2017) no. 2, pp. 171-182.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We determine, under some conditions, the pseudo-isomorphism classes of the tamely ramified Iwasawa modules for the $\mathbb Z_p^2$-extension of an imaginary quadratic field. Moreover, we deduce a result for $\mathbb Z_p$-extensions. This work is motivated by a study of Itoh–Mizusawa–Ozaki which essentially determines the pseudo-isomorphism classes of the tamely ramified Iwasawa modules for the cyclotomic $\mathbb Z_p$-extension of the field $\mathbb Q$ of rational numbers.
DOI : 10.4064/aa170127-27-4
Keywords: determine under conditions pseudo isomorphism classes tamely ramified iwasawa modules mathbb extension imaginary quadratic field moreover deduce result mathbb p extensions work motivated study itoh mizusawa ozaki which essentially determines pseudo isomorphism classes tamely ramified iwasawa modules cyclotomic mathbb p extension field mathbb rational numbers

Takenori Kataoka 1

1 Graduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914, Japan 
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Takenori Kataoka. On pseudo-isomorphism classes of tamely ramified Iwasawa modules over imaginary quadratic fields. Acta Arithmetica, Tome 180 (2017) no. 2, pp. 171-182. doi : 10.4064/aa170127-27-4. http://geodesic.mathdoc.fr/articles/10.4064/aa170127-27-4/

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