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• Tags:
  • #todo/untagged
• Refs:
  • For K3: https://math.uchicago.edu/~sfilip/public_files/lectures_k3_dynamics.pdf#page=23&zoom=auto,-200,513
• Links:
  • #todo/create-links

Torelli

Idea: a non-singular projective algebraic curve $C_{/ {k}} $ for any \(k=\mkern 1.5mu\overline{\mkern-1.5muk\mkern-1.5mu}\mkern 1.5mu\) is determined by its Jacobian variety \(\operatorname{Jac}(C) \in {\mathcal{A}_g}\). Equivalently, there is a period map \(P: {\mathcal{M}_g}\to {\mathcal{A}_g}\) which is injective on geometric points.

For K3s: