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Drinfeld modules, Explicit class field theory and Lambda-structures

Cheng, Derek


This thesis translates some $\Lambda$-geometric results from number fields, to function fields. There are two major results in this thesis. For each set $P$ of almost all primes of $\fp[t]$, we use $R_P$ to denote the ring corresponding to an affine open subsets of $\mathbb{P}^1_{\fp}$, i.e., the closed points of $R_P$ are the elements in $P$. We give an equivalent condition for a finite \'{e}tale $\Lambda$-scheme $S$ over $\mbox{Spec}(\fp(t))$ to have a $Q$-$\Lambda(P)$-model, by which...[Show more]

CollectionsOpen Access Theses
Date published: 2022
Type: Thesis (PhD)
DOI: 10.25911/PEVG-3Z15


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