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arXiv · 2605.27926

Examples of infinitely many $(-1)$-curves with higher genus on elliptic surfaces

Sichen Li·Jihao Liu
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Abstract

In this article, for every integer $g>1$, we construct the first example of an elliptic surface with infinitely many smooth $(-1)$-curves of genus $g$, settling an open question of Bauer et al. [Duke Math. J. 162 (10) (2013), 1877-1894].

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Sichen Li, Jihao Liu. 2026-05-27. Examples of infinitely many $(-1)$-curves with higher genus on elliptic surfaces. https://arxiv.org/abs/2605.27926

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