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International conference "Geometrical Methods in Mathematical Physics"
December 14, 2011 11:05–11:50, Moscow, Lomonosov Moscow State University
 


Equivariance for curves of genus two

Ch. Athorne

University of Glasgow
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Ch. Athorne


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Abstract: We present an equivariant treatment of the algebraic description of the Jacobian of a generic genus two plane curve which. This exploits an $ SL_{2}(k)$ Group action on the family of such curves and clarifies the structure of E.V. Flynn's seventy two defining quadratic relations. The treatment is also applied to the associated Kummer variety.

Language: English

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