On the equivariant algebraic Jacobian for curves of genus two

preprint2011arXivOpen access

Abstract

We present a treatment of the algebraic description of the Jacobian of a generic genus two plane curve which exploits an SL2(k) equivariance and clarifes the structure of E.V.Flynn's 72 defining quadratic relations. The treatment is also applied to the Kummer variety.

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