On pseudo-isomorphism classes of tamely ramified Iwasawa modules over imaginary quadratic fields
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.
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
Affiliations des auteurs :
Takenori Kataoka 1
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author = {Takenori Kataoka},
title = {On pseudo-isomorphism classes of tamely ramified {Iwasawa} modules over imaginary quadratic fields},
journal = {Acta Arithmetica},
pages = {171--182},
publisher = {mathdoc},
volume = {180},
number = {2},
year = {2017},
doi = {10.4064/aa170127-27-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa170127-27-4/}
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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
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