The fractional Galois ideal , Stark elements and class - groups Paul Buckingham
نویسنده
چکیده
We refine the definition of the fractional Galois ideal introduced in [Paul Buckingham. The canonical fractional Galois ideal at s = 0. J. Number Theory, 128(6):1749–1768, 2008] which was based on Snaith’s fractional ideal, allowing us to give a general relationship of this object with the Stark elements appearing in Rubin’s integral sharpening of Stark’s Conjecture. We motivate this by using a theorem of Büyükboduk to illustrate how one can obtain the Fitting ideal of (part of) a class-group from the fractional Galois ideal. 2000 Mathematics Subject Classification: Primary 11R42; Secondary 11R29.
منابع مشابه
The fractional Galois ideal, Stark elements and class-groups
We refine the definition of the fractional Galois ideal introduced in [Paul Buckingham. The canonical fractional Galois ideal at s = 0. J. Number Theory, 128(6):1749–1768, 2008] which was based on Snaith’s fractional ideal, allowing us to give a general relationship of this object with the Stark elements appearing in Rubin’s integral sharpening of Stark’s Conjecture. We motivate this by using t...
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