Abstract
For an odd prime $p$, we compute the $\mu$-invariant of the anticyclotomic Katz $p$-adic $L$-function of a $p$-ordinary CM field if the conductor of the branch character is a product of primes split over the maximal real subfield. Except for rare cases where the root number of the $p$-adic functional equation is congruent to $-1$ modulo $p$, the invariant vanishes.
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AUTHOR = {Katz, Nicholas M.},
TITLE = {Serre-{T}ate local moduli},
BOOKTITLE = {Algebraic Surfaces},
VENUE={{O}rsay, 1976--78},
SERIES = {Lecture Notes in Math.},
VOLUME = {868},
PAGES = {138--202},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
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}