On Iwasawa theory of Rubin-Stark units and narrow class groups

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Let K be a totally real number field of degree r. Let K∞ denote the cyclotomic Z₂-extension of K and let L∞ be a finite extension of K∞, abelian over K. The goal of this paper is to compare the characteristic ideal of the χ-quotient of the projective limit of the narrow class groups to the χ-quotient of the projective limit of the r-th exterior power of totally positive units modulo a subgroup of Rubin-Stark units, for some Q₂-irreducible characters χ of Gal(L∞/K∞).