阿贝尔三维流形上的 Fourier-Mukai 变换与 Bridgeland 稳定性条件 II
代数几何
2015-11-24 v2
摘要
我们证明了由 Bayer、Bertram、Macr\'i 和 Toda 提出的猜想构造，通过证明倾斜稳定对象满足强 Bogomolov-Gieseker 型不等式，从而为 Picard 秩为 1 的主极化阿贝尔三维流形产生了 Bridgeland 稳定性条件。这是通过证明任何 Fourier-Mukai 变换都给出了相干层双重倾斜的阿贝尔范畴之间的等价性来完成的。
引用
@article{arxiv.1310.0299,
title = {Fourier-Mukai Transforms and Bridgeland Stability Conditions on Abelian Threefolds II},
author = {Antony Maciocia and Dulip Piyaratne},
journal= {arXiv preprint arXiv:1310.0299},
year = {2015}
}
备注
24 pages, Spurious part of Props 5.5. and 5.6 removed and text adjusted. Contact details and references updated. Additional explanations added to note 3.2 and several minor corrections made following the referee's suggestions. To appear in Inter. J. Math