Abstract
This chapter develops the basic structure theory for local and global fields; we follow A. Weil in stressing the topological rather than algebraic perspective, although perhaps less emphatically. Thus the more algebraically inclined will gain new insight into phenomena that have more often been treated in the context of the fraction field of a discrete valuation ring with finite residue field, or a Dedekind domain.
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© 1999 Springer Science+Business Media New York
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Ramakrishnan, D., Valenza, R.J. (1999). The Structure of Arithmetic Fields. In: Fourier Analysis on Number Fields. Graduate Texts in Mathematics, vol 186. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3085-2_4
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DOI: https://doi.org/10.1007/978-1-4757-3085-2_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3087-6
Online ISBN: 978-1-4757-3085-2
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