Computing the level of a modular rigid Calabi-Yau threefold.
Dieulefait, Luis V. (2004)
Experimental Mathematics
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Displaying similar documents to “New examples of modular rigid Calabi-Yau threefolds.”
Computing the level of a modular rigid Calabi-Yau threefold.
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Wiese, Gabor (2004)
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Chris Skinner (2003)
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This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, -adic Galois representations associated to holomorphic Hilbert modular newforms.
Modularity of fibres in rigid local systems.
Darmon, Henri (1999)
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Computations of Galois representations associated to modular forms of level one
Peng Tian (2014)
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We propose an improved algorithm for computing mod ℓ Galois representations associated to a cusp form f of level one. The proposed method allows us to explicitly compute the case with ℓ = 29 and f of weight k = 16, and the cases with ℓ = 31 and f of weight k = 12,20,22. All the results are rigorously proved to be correct. As an example, we will compute the values modulo 31 of Ramanujan's tau function at some huge primes up to a sign. Also we will give an improved...
The modularity of the Barth-Nieto quintic and its relatives.
Hulek, K., Spandaw, J., van Geemen, B., van Straten, D. (2001)
Advances in Geometry
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