A generalization of Darmon's conjecture for Euler systems for general \(p\)-adic representations

DOI10.1016/j.jnt.2014.05.007zbMath1296.11143arXiv1406.4618OpenAlexW2059960950WikidataQ123001705 ScholiaQ123001705MaRDI QIDQ404354

Takamichi Sano

Publication date: 4 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4618

zbMATH Keywords

\(p\)-adic representationsSelmer groupsEuler systemsKolyvagin systemsDarmon's conjecturerefined class number formulas

Mathematics Subject Classification ID

Units and factorization (11R27) (p)-adic theory, local fields (11F85) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (3)

Controlling Selmer groups in the higher core rank case ⋮ Refined class number formulas for \(\mathbb{G}_m\) ⋮ Stark systems over Gorenstein local rings

Cites Work

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• Relations between \(K_2\) and Galois cohomology
• On the equivariant Tamagawa number conjecture for Tate motives
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns
• Refined class number formulas and Kolyvagin systems
• On the cyclotomic main conjecture for the prime 2
• Kolyvagin systems
• Thaine's Method for Circular Units and a Conjecture of Gross
• Euler Systems
• Tamagawa numbers for motives with (non-commutative) coefficients

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