Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Some new maps and ideals in classical Iwasawa theory with applications

100%

Solomon D.

Acta Arithmetica

2014

tom 162

nr 2

101-140

We introduce a new ideal 𝔇 of the p-adic Galois group-ring associated to a real abelian field and a related ideal 𝔍 for imaginary abelian fields, Both result from an equivariant, Kummer-type pairing applied to Stark units in a $ℤ_p$-tower of abelian fields, and 𝔍 is linked by explicit reciprocity to a third ideal 𝔖 studied more generally in [D. Solomon, Acta Arith. 143 (2010)]. This leads to a new and unifying framework for the Iwasawa theory of such fields including a real analogue of Stickelberger's Theorem, links with certain Fitting ideals and Λ-torsion submodules, and a new exact sequence related to the Main Conjecture.

Ograniczanie wyników

1 Acta Arithmetica

1 Solomon D.

1 2014

Wyniki wyszukiwania

Some new maps and ideals in classical Iwasawa theory with applications