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- W4299940329 abstract "Let $N$ be an odd and squarefree positive integer divisible by at least two relative prime integers bigger or equal than 4. Our main theorem is an asymptotic formula solely in terms of $N$ for the stable arithmetic self-intersection number of the relative dualizing sheaf for modular curves $X_1(N)/ mathbb{Q}$. From our main theorem we obtain an asymptotic formula for the stable Faltings height of the Jacobian $J_1(N) / mathbb{Q}$ of $X_1(N)/ mathbb{Q}$, and, for sufficiently large N, an effective version of Bogomolov's conjecture for $X_1(N) / mathbb{Q}$." @default.
- W4299940329 created "2022-10-03" @default.
- W4299940329 creator A5049976889 @default.
- W4299940329 date "2012-12-06" @default.
- W4299940329 modified "2023-10-17" @default.
- W4299940329 title "Self-intersection of the relative dualizing sheaf on modular curves $X_1(N)$" @default.
- W4299940329 doi "https://doi.org/10.48550/arxiv.1212.1294" @default.
- W4299940329 hasPublicationYear "2012" @default.
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