Explicit unobstructed primes for modular deformation problems of squarefree level

DOI10.1016/j.jnt.2004.01.010zbMath1070.11022arXivmath/0212304OpenAlexW2045306332MaRDI QIDQ1767665

Tom Weston

Publication date: 8 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0212304

zbMATH Keywords

deformation theoryCongruenceModular form

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Galois representations (11F80)

Related Items (4)

On the level raising of cuspidal eigenforms modulo prime powers ⋮ On the \(\mu\)-invariant of fine Selmer groups ⋮ Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms. II ⋮ An irreducibility criterion for group representations, with arithmetic applications

Cites Work

• Congruences of cusp forms and special values of their zeta functions
• On congruence divisors of cusp forms as factors of the special values of their zeta functions
• Lifting modular mod \(l\) representations
• On the unobstructedness of the deformation problems of residual modular representations
• A finiteness theorem for the symmetric square of an elliptic curve
• Mod p Hecke operators and congruences between modular forms
• A generalisation of the Cassel-Tate pairing.
• The Tamagawa number conjecture of adjoint motives of modular forms
• Unobstructed modular deformation problems
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• Representations related to CM elliptic curves
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