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Tamely Ramified Towers and Discriminant Bounds for Number Fields

✍ Scribed by Farshid Hajir; Christian Maire

Book ID
110362927
Publisher
Cambridge University Press
Year
2001
Tongue
English
Weight
170 KB
Volume
128
Category
Article
ISSN
0010-437X

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The root discriminant of a number field of degree n is the nth root of the absolute value of its discriminant. Let R 0 (2m) be the minimal root discriminant for totally complex number fields of degree 2m, and put Ξ± 0 = lim infm R 0 (2m). Define R 1 (m) to be the minimal root discriminant of totally

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A mistake in the proof of Theorem 1 occurred which was pointed out to the author by Tristan RivieÁ re. It is stated there that the constant C depends only on the domain and the H 1Γ‚2 norm of the boundary data. It really should be the H s -norm for some s>1Γ‚2 for the result to be correct. The proble