A generalization of the theory of Coleman power series

DOI10.2748/tmj/1412783201zbMath1314.14094OpenAlexW2063423821MaRDI QIDQ481406

Kazuto Ota

Publication date: 12 December 2014

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1412783201

zbMATH Keywords

Coleman power seriesformal groupDieudonne module

Mathematics Subject Classification ID

Formal groups, (p)-divisible groups (14L05) Formal power series rings (13F25) (p)-adic theory (11E95) Class field theory; (p)-adic formal groups (11S31)

Related Items (7)

On the parity of supersingular Weil polynomials ⋮ The \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions ⋮ Ranks of rational points of the Jacobian varieties of hyperelliptic curves ⋮ On the \(p\)-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields ⋮ The p-Adic Height Pairing on Abelian Varieties at Non-ordinary Primes

Cites Work

• Unnamed Item
• Théorie d'Iwasawa p-adique locale et globale. (Local and global p-adic Iwasawa theory)
• Division values in local fields
• Iwasawa theory of \(p\)-adic representations over a local field
• Iwasawa theory for elliptic curves at supersingular primes
• Iwasawa-theory of abelian varieties at primes of non-ordinary reduction
• The \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes
• On the theory of commutative formal groups

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