On stability conditions for the quintic threefold
On stability conditions for the quintic threefold
复制标题
关于五次三重的稳定性条件
作者：
Chunyi Li
研究了一类特殊的曲线C_{2，2，5} C_{2，2，5} C_{2，2，5}的Clifford型不等式，这些曲线都包含在光滑的五次三重曲线中.这使我们能够证明一些更强的Bogomolov-Gieseker型不等式的陈特征标的稳定层和倾斜稳定对象的光滑五次三重。利用Bayer，Bertram，Macrandom，Stellari和户田的框架，我们在$$mathbf {P}^4_{mathbb {C}}$$PC中构造了一个关于三重光滑五次曲线稳定性条件的开子集。
We study the Clifford type inequality for a particular type of curves $$C_{2,2,5}$$C2,2,5, which are contained in smooth quintic threefolds. This allows us to prove some stronger Bogomolov–Gieseker type inequalities for Chern characters of stable sheaves and tilt-stable objects on smooth quintic threefolds. Employing the previous framework by Bayer, Bertram, Macrì, Stellari and Toda, we construct an open subset of stability conditions on every smooth quintic threefold in $$mathbf {P}^4_{mathbb {C}}$$PC4.
K3 曲面上曲线的高阶 Clifford 指数
DOI：
10.1007/s00029-021-00664-z
发表时间：
2021
期刊：
Selecta Mathematica
影响因子：
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作者：
Feyzbakhsh S
通讯作者：
Feyzbakhsh S