This maps factors through the Kummer variety as a degree 4 map which has 16 nodes at the images of the 2-torsion points on Jac ( C ).
2.
Because a weight is a map to a commutative ring, the map factors through the abelianization of the algebra \ mathcal { A } equivalently, it vanishes on the derived algebra in terms of matrices, if v is a common eigenvector of operators T and U, then T U v = U T v ( because in both cases it is just multiplication by scalars ), so common eigenvectors of an algebra must be in the set on which the algebra acts commutatively ( which is annihilated by the derived algebra ).
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