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 
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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     title = {Hasse invariant and group cohomology},
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