Coleman maps for modular forms at supersingular primes over Lubin-Tate extensions

DOI10.1016/j.jnt.2010.04.004zbMath1277.11103arXiv0908.0091OpenAlexW2103199238MaRDI QIDQ708267

Antonio Lei

Publication date: 11 October 2010

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

Full work available at URL: https://arxiv.org/abs/0908.0091

zbMATH Keywords

modular formsLubin-Tate extensionssupersingular Iwasawa theory

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Iwasawa theory (11R23) Class field theory; (p)-adic formal groups (11S31)

Related Items (1)

Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions

Cites Work

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• On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
• On a trivial zero problem
• On explicit reciprocity law over formal groups
• Iwasawa theory for modular forms at supersingular primes
• Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields
• The parity conjecture for elliptic curves at supersingular reduction primes

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