Reference : On Leopoldt's and Gross's defects for Artin representations
E-prints/Working papers : Already available on another site
Physical, chemical, mathematical & earth Sciences : Mathematics
On Leopoldt's and Gross's defects for Artin representations
Maksoud, Alexandre mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
[en] Leopoldt conjecture ; Gross-Kuz'min conjecture ; Iwasawa theory
[en] We generalize Waldschmidt's bound for Leopoldt's defect and prove a similar bound for Gross's defect for an arbitrary extension of number fields. As an application, we prove new cases of the generalized Gross conjecture (also known as the Gross-Kuz'min conjecture) beyond the classical abelian case, and we show that Gross's p-adic regulator has at least half of the conjectured rank. We also describe and compute non-cyclotomic analogues of Gross's defect.
Fonds National de la Recherche - FnR
FnR ; FNR12589973 > Gabor Wiese > GALF > Galois Representations, Automorphic Forms And Their L-functions > 01/02/2019 > 31/01/2023 > 2018

File(s) associated to this reference

Fulltext file(s):

Open access
gross_arxiv.pdfAuthor preprint313.71 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.