Examples of infinitely many $(-1)$-curves with higher genus on elliptic surfaces
Algebraic Geometry
2026-05-28 v1
Abstract
In this article, we construct the first example of an elliptic surface with infinitely many smooth -curves of genus , settling an open question of Bauer et al. [Duke Math. J. \textbf{162} (10) (2013), 1877-1894].
Cite
@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}
}
Comments
5 pages, comments are welcome!