Geodesic
Hasse invariant and group cohomology
Documenta mathematica, Tome 8 (2003), pp. 43-50
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Let p≥5 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≥5 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.
DOI : 10.4171/dm/136
Classification : 11F33 
@article{10_4171_dm_136,
     author = {Bas Edixhoven and Chandrashekhar Khare},
     title = {Hasse invariant and group cohomology},
     journal = {Documenta mathematica},
     pages = {43--50},
     year = {2003},
     volume = {8},
     doi = {10.4171/dm/136},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/136/}
}
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Bas Edixhoven; Chandrashekhar Khare. Hasse invariant and group cohomology. Documenta mathematica, Tome 8 (2003), pp. 43-50. doi: 10.4171/dm/136

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