It is well-known that two principally polarized abelian varieties of dimension $g$ over $\mathbb{C}$ are isomorphic to each other if and only if their period matrices lie in the same $\text{Sp}_{2g}(\mathbb{Z})$-orbit. Do we know anything about how period matrices of isogenous abelian varieties are related to each other?
2026-03-28 01:06:34.1774659994
Period matrices of isogenous abelian varieties
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