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Movable Curves and Ample Normal Bundles
Abstract
We prove that the movable cone of a smooth complex projective variety is the closed cone generated by possibly singular curves with ample coherent normal sheaves, answering a question of Boucksom--Demailly--Păun--Peternell. For smooth curves, we establish the analogous equality in several geometric settings and give explicit constructions on blowups.
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BibTeX
@misc{wu2026movable,
title = {{Movable Curves and Ample Normal Bundles}},
author = {Jingcao Wu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33724},
eprint = {2610.33724},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33724},
}
RIS
TY - UNPB
TI - Movable Curves and Ample Normal Bundles
AU - Jingcao Wu
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.33724
UR - https://arxiv.org/abs/2610.33724
AB - We prove that the movable cone of a smooth complex projective variety is the closed cone generated by possibly singular curves with ample coherent normal sheaves, answering a question of Boucksom--Demailly--Păun--Peternell. For smooth curves, we establish the analogous equality in several geometric settings and give explicit constructions on blowups.
ER -