Geodesic
Hasse invariant and group cohomology
Documenta mathematica, Tome 8 (2003), pp. 43-50.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $p\geq5$ be a prime number. The Hasse invariant is a modular form modulo $p$ that is often used to produce congruences between modular forms of different weights. We show how to produce such congruences between eigenforms of weights 2 and $p+1$, in terms of group cohomology. We also illustrate how our method works for inert primes $p\geq5$ in the contexts of quadratic imaginary fields (where there is no Hasse invariant available) and Hilbert modular forms over totally real fields, cyclic and of even degree over the rationals.
Classification : 11F33 
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     author = {Edixhoven, Bas and Khare, Chandrashekhar},
     title = {Hasse invariant and group cohomology},
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     volume = {8},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2003__8__a17/}
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Edixhoven, Bas; Khare, Chandrashekhar. Hasse invariant and group cohomology. Documenta mathematica, Tome 8 (2003), pp. 43-50. http://geodesic.mathdoc.fr/item/DOCMA_2003__8__a17/