Arithmetic of formal groups and applications. I: Universal norm subgroups

DOI10.1007/BF01389244zbMath0608.14034MaRDI QIDQ1086314

Peter Schneider

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143437

zbMATH Keywords

Iwasawa theoryDieudonné modulesCartier dualityp-divisible group\({bbfZ}_ p\)-extensionabelian variety with good reductioncyclotomic \({bbfZ}_ p\)-extensionformal Lie groupinfinite dimensional formal Lie group of Witt covectorsnorm subgroup of formal group

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15) Cyclotomic extensions (11R18) Formal groups, (p)-divisible groups (14L05) Class field theory; (p)-adic formal groups (11S31)

Related Items

Finite \(\Lambda\)-submodules of Selmer groups of Abelian varieties over cyclotomic \(\mathbb Z_p\)-extensions., Iwasawa-theory of abelian varieties at primes of non-ordinary reduction, Points de Heegner et dérivées de fonctions L p-adiques. (Heegner points and derivatives of p-adic L-functions), On the rational points of abelian varieties over \({\mathbb{Z}}_ p\)- extensions of number fields, On Selmer groups in the supersingular reduction case, Witt vectors. Part 1, Integral Iwasawa theory of Galois representations for non-ordinary primes, Représentations $p$-adiques et normes universelles I. Le cas cristallin, Théorie d'Iwasawa p-adique locale et globale. (Local and global p-adic Iwasawa theory), Tate duality and wild ramification, Représentations de de Rham et normes universelles, Iwasawa theory for elliptic curves over imaginary quadratic fields, The p-Adic Height Pairing on Abelian Varieties at Non-ordinary Primes, Control of $$\Lambda $$ -adic Mordell–Weil Groups

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