光滑射影簇上合冲丛的稳定性
代数几何
2021-04-27 v2
摘要
我们证明了在光滑射影簇上，充分丰富的线丛的全局截面求值态射的核丛（即合冲丛）关于任意极化是斜率稳定的。这解决了 Ein-Lazarsfeld-Mustopa 的一个猜想。
引用
@article{arxiv.2104.10271,
title = {Stability of syzygy bundles on smooth projective varieties},
author = {Shijie Shang},
journal= {arXiv preprint arXiv:2104.10271},
year = {2021}
}
备注
The inequality deg(\bar{N}_d)<=\mu(\bar{M}_d)rank(F_d) (appeared on page 4) is wrong, and this invalidates the rest of the proof