Abstract
We extend the formulae of classical invariant theory for the Jacobian of a genus one curve of degree to curves of arbitrary degree. To do this, we associate to each genus one normal curve of degree , an alternating matrix of quadratic forms in variables, that represents the invariant differential. We then exhibit the invariants we need as homogeneous polynomials of degrees and in the coefficients of the entries of this matrix.
Citation
Tom Fisher. "A formula for the Jacobian of a genus one curve of arbitrary degree." Algebra Number Theory 12 (9) 2123 - 2150, 2018. https://doi.org/10.2140/ant.2018.12.2123
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