Thanks everyone for the help and suggestions. For now I just want to organize the class structure for curves so that they inherit from the projective/affine subscheme classes, but I'll definitely investigate other structures to aid with upcoming functionality goals (such as resolution of singularities). I really like Johan's suggestion for the class names and folder name, and have attempted implementing these changes in ticket #20697 <http://trac.sagemath.org/ticket/20697>.
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