Genus 3 hyperelliptic curves with CM via Shimura Reciprocity

13 Mar 2020 Dina B. Ionica S.

Up to isomorphism over C, every simple principally polarized abelian variety of dimension 3 is the Jacobian of a smooth projective curve of genus 3. Furthermore, this curve is either a hyperelliptic curve or a plane quartic... (read more)

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