Optimal bounds in Bend-and-Break

Fuente: arXiv
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Main Authors: Jovinelly, Eric, Lehmann, Brian, Riedl, Eric
Format: Preprint
Published: 2025
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author Jovinelly, Eric
Lehmann, Brian
Riedl, Eric
author_facet Jovinelly, Eric
Lehmann, Brian
Riedl, Eric
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_08065
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal bounds in Bend-and-Break
Jovinelly, Eric
Lehmann, Brian
Riedl, Eric
Algebraic Geometry
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.
title Optimal bounds in Bend-and-Break
topic Algebraic Geometry
url https://arxiv.org/abs/2509.08065