Arithmetic on a Quintic Threefold
نویسندگان
چکیده
This paper is concerned with the conjectural correspondence between Galois representations and modular forms. Although such relation has been fully established in the case the Galois representation is realizable on the `-adic Tate module of an elliptic curve over Q (cf. [24],[20],[5]), very little is known in general. As a first step towards the understanding of more complicated cases, we consider a Galois representation constructed from the complex hypersurface X ⊂ A defined by the set of zeroes of the equation:
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