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· 2014

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math.AG 1

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2025 1

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CONDITIONAL 1

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Ceresa Cycles of $X_{0}(N)$

math.AG · 2025-01-23 · conditional · novelty 7.0

For prime level p, the Ceresa cycle of X0(p) is nontrivial if and only if X0(p) is not hyperelliptic; for general N, only finitely many X0(N) can have a vanishing Ceresa cycle.

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  • Ceresa Cycles of $X_{0}(N)$ math.AG · 2025-01-23 · conditional · none · ref 3

    For prime level p, the Ceresa cycle of X0(p) is nontrivial if and only if X0(p) is not hyperelliptic; for general N, only finitely many X0(N) can have a vanishing Ceresa cycle.