Optimal bounds in Bend-and-Break
Algebraic Geometry
2026-01-09 v2
Abstract
We improve the Bend-and-Break result of Miyaoka and Mori by establishing the optimal degree bound. Our result also yields optimal bounds on lengths of extremal rays of log canonical pairs.
Keywords
Cite
@article{arxiv.2509.08065,
title = {Optimal bounds in Bend-and-Break},
author = {Eric Jovinelly and Brian Lehmann and Eric Riedl},
journal= {arXiv preprint arXiv:2509.08065},
year = {2026}
}
Comments
4 pages, attributions updated