Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\)

DOI10.1007/BF01402272zbMath0436.12004OpenAlexW1975513982WikidataQ116142026 ScholiaQ116142026MaRDI QIDQ1140679

Andrew Wiles

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/142712

zbMATH Keywords

Galois module structuremodular curveideal class group

Mathematics Subject Classification ID

Galois theory (11R32) Holomorphic modular forms of integral weight (11F11) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Global ground fields in algebraic geometry (14G25)

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Unnamed Item, Algebraic number fields, Some remarks on a theorem of Parent and generalizing Ogg's conjecture, \(p\)-adic periods and modular symbols of elliptic curves of prime conductor, Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups, Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties, On congruence divisors of cusp forms as factors of the special values of their zeta functions, Kummer's criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms, Points of order \(p\) on elliptic curves over \(\mathbb Q(\sqrt p)\), Un sous-groupe $p$-divisible de la jacobienne de $X_1(N p_r)$ comme module sur l'algèbre de Hecke, Companion forms over totally real fields, Unnamed Item, The kernel of the Eisenstein ideal, Unnamed Item, A tameness criterion for Galois representations associated to modular forms (mod \(p\)), Mod p Hecke operators and congruences between modular forms, The Manin constant in the semistable case, Units and class groups in number theory and algebraic geometry, Class fields of abelian extensions of \(\mathbb Q\), Unnamed Item

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