Centers of Hodge Groups of Superelliptic Jacobians
نویسنده
چکیده
is surjective. If W is a Q-vector space, Q-algebra or Q-Lie algebra then we write WC for the correspondingC-vector space (respectively, C-algebra orC-Lie algebra) W ⊗Q C. Let f(x) ∈ C[x] be a polynomial of degree n ≥ 2 without multiple roots. Suppose that p is a prime that does not divide n and a positive integer q = p is a power of p. As usual, φ(q) = (p − 1)p denotes the Euler function. Let us fix a primitive qth root of unity ζq ∈ C. We write Cf,q for the superelliptic curve y = f(x) and J(Cf,q) for its jacobian. Clearly, J(Cf,q) is an abelian variety and
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