Tate-Shafarevich Groups of Jacobians of Fermat Curves
For a fixed rational prime p and primitive p-th root of unity ζ, we consider the Jacobian, J, of the complete non-singular curve give by equation yᵖ = xᵃ(1 − x)ᵇ. These curves are quotients of the p-th Fermat curve, given by equation xᵖ+yᵖ = 1, by a cyclic group of automorphisms. Let k = Q(ζ) and k(...
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| Language: | EN |
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The University of Arizona.
2006
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| Online Access: | http://hdl.handle.net/10150/193812 |