Abstract
Iwasawa [Iw 8], [Iw 10] developed a theory of local units analogous to the global theory, taking projective limits, especially in the cyclotomic tower, and getting the structure of this projective limit modulo the closure of the cyclotomic units. He considers eigenspaces for the characters of Gal(K0/Q p ) where K0 = Q p (ζ) with a primitive pth root of unity ζ. Since the cyclotomic units are essentially real, we consider only even non-trivial characters. Then the eigen-space is isomorphic to Λ/(g), where g is a power series which is essentially the p-adic L-function.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York
About this chapter
Cite this chapter
Lang, S. (1990). Iwasawa Theory of Local Units. In: Cyclotomic Fields I and II. Graduate Texts in Mathematics, vol 121. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0987-4_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0987-4_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6972-4
Online ISBN: 978-1-4612-0987-4
eBook Packages: Springer Book Archive