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On Z_p-extensions of real abelian number fields

Abstract : This thesis focuses on the so-called Greenberg Conjecture in Iwasawa theory, stating that the class numbers of number fields belonging to a Z_p-extension of a real number field are bounded. We discuss some criteria for the Conjecture to hold as well as applications to the arithmetic of Cyclotomic Units.
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https://tel.archives-ouvertes.fr/tel-00947135
Contributor : Filippo A. E. Nuccio Mortarino Majno Di Capriglio Connect in order to contact the contributor
Submitted on : Friday, February 14, 2014 - 4:54:54 PM
Last modification on : Wednesday, November 3, 2021 - 2:18:08 PM
Long-term archiving on: : Thursday, May 15, 2014 - 7:15:16 AM

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  • HAL Id : tel-00947135, version 1

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Fillipo A.E. Nuccio Mortarino Majno Di Capriglio. On Z_p-extensions of real abelian number fields. Number Theory [math.NT]. Università degli studi di Roma I, 2009. English. ⟨tel-00947135⟩

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