Kolyvagin systems of Stark units

DOI10.1515/CRELLE.2009.042zbMath1216.11102arXivmath/0703426MaRDI QIDQ3638127

Kâzım Büyükboduk

Publication date: 2 July 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703426

zbMATH Keywords

Gras conjectureStark unitsKolyvagin system

Mathematics Subject Classification ID

Galois theory (11R32) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (11)

Iwasawa theory of Rubin-Stark units and class groups ⋮ Refined class number formulas for \(\mathbb{G}_m\) ⋮ Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups ⋮ On the Iwasawa theory of CM fields for supersingular primes ⋮ Main conjectures for higher rank nearly ordinary families. I ⋮ On derivatives of Artin \(L\)-series ⋮ Eigenspaces of the ideal class group ⋮ On the theory of Kolyvagin systems of rank 0 ⋮ Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\) ⋮ Théorie d’Iwasawa des unités de Stark et groupe de classes ⋮ A higher rank Euler system for Gm over a totally real field

Cites Work

• Unnamed Item
• Twisted zeta-functions and Abelian Stark conjectures
• Modular elliptic curves and Fermat's Last Theorem

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