Abstract
Given a genus $3$ canonical curve $X=\{ F=0\}$ we derive a set of equations for an open affine set of the Jacobian $J(X)$. The law group on the Jacobian is also explicitly constructed and, as an application, a set of equations for Kummer's variety $K(X)$ is obtained.
Citation
Jesús Romero-Valencia. Alexis G. Zamora. "Explicit constructions for genus 3 Jacobians." Rocky Mountain J. Math. 44 (4) 1367 - 1376, 2014. https://doi.org/10.1216/RMJ-2014-44-4-1367
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