Year: 2026
Type: article
Abstract: In this article, we study questions pertaining to ramified Z p d $\mathbb {Z}_p^d$ double struck upper Z Subscript p Superscript d -extensions of a finite connected graph X $X$ upper X . Let X ∞ $X_\infty $ upper X Subscript infinity denote a Z p d $\mathbb {Z}_p^d$ double struck upper Z Subscript p Superscript d ramified derived graph of X $X$ upper X (with d ≥ 1 $d\geq 1$ d greater than or equals 1 ) and Λ $\Lambda $ normal upper Lamda denote the associated Iwasawa algebra. We first prove an asymptotic growth formula in this general setting and show that it is possible to interpret the characteristic ideal of Pic Λ ( X ∞ ) $\mathrm {Pic}_{\Lambda }(X_\infty )$
Authors: DEBANJANA KUNDU, KATHARINA MÜLLER
Institutions: University of Regina, Universität der Bundeswehr München
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4403575104