Algebra and Geometry

Decomposable Curves which are Quantum Homogeneous Spaces

Let C be a decomposable plane curve over an algebraically closed field k of characteristic 0. That is, C is defined in k^2 by an equation of the form g(x) = f(y), where g and f are polynomials of degree at least 2. We use this data to construct 3 pointed Hopf algebras, A(x, a, g), A(y, b, f) and A(g, f), in the first two of which g [resp.