On the equivariant algebraic Jacobian for curves of genus two

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.

References in corpus (3)

• Identities for hyperelliptic P-functions of genus one, two and three in covariant form
• Abelian functions associated with genus three algebraic curves
• Deriving bases for Abelian functions

Cited by in corpus (2)

• Abelian function fields on Jacobian varieties
• Generalised Elliptic Functions