solidot新版网站常见问题,请点击这里查看。

Classification of full exceptional collections of line bundles on three blow-ups of $\mathbb{P}^{3}$. (arXiv:1810.06367v1 [math.AG])

来源于:arXiv
A fullness conjecture of Kuznetsov says that if a smooth projective variety $X$ admits a full exceptional collection of line bundles of length $l$, then any exceptional collection of line bundles of length $l$ is full. In this paper, we show that this conjecture holds for $X$ as the blow-up of $\mathbb{P}^{3}$ at a point, a line, or a twisted cubic curve, i.e. any exceptional collection of line bundles of length 6 on $X$ is full. Moreover, we obtain an explicit classification of full exceptional collections of line bundles on such $X$. 查看全文>>