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A certain class of transcendental curves

✍ Scribed by Florence Eliza Allen

Publisher: Springer Milan
Year: 1915
Tongue: Italian
Weight: 145 KB
Volume: 39
Category: Article
ISSN: 0009-725X
DOI: 10.1007/bf03015977

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Let q be an odd prime, e a non-square in the finite field F q with q elements, p(T) an irreducible polynomial in F q [T] and A the affine coordinate ring of the hyperelliptic curve y 2 =ep(T) in the (y, T)-plane. We use class field theory to study the dependence on deg(p) of the divisibility by 2, 4