Abstract
In the present paper, we discuss two categorical characterizations of local fields. We first prove that a certain full subcategory of the category of finite flat coverings of the spectrum of the ring of integers of a local field equipped with coherent modules completely determines the isomorphism class of the local field. Next, we also prove that a certain full subcategory of the category of irreducible schemes which are finite over the spectrum of the ring of integers of a local field completely determines the isomorphism class of the local field.
Citation
Yuichiro Hoshi. "Two categorical characterizations of local fields." Hiroshima Math. J. 48 (3) 253 - 277, November 2018. https://doi.org/10.32917/hmj/1544238027
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