椭圆曲面上具有更高亏格的无穷多条$(-1)$-曲线的例子
代数几何
2026-05-28 v1
摘要
本文构造了第一个具有无穷多条亏格的光滑-曲线的椭圆曲面例子，解决了Bauer等人[Duke Math. J. \textbf{162} (10) (2013), 1877-1894]提出的一个开放问题。
引用
@article{arxiv.2605.27926,
title = {Examples of infinitely many $(-1)$-curves with higher genus on elliptic surfaces},
author = {Sichen Li and Jihao Liu},
journal= {arXiv preprint arXiv:2605.27926},
year = {2026}
}
备注
5 pages, comments are welcome!