论文标题

quasiexcellence意味着强大的一代

Quasiexcellence implies strong generation

论文作者

Aoki, Ko

论文摘要

我们证明,有限尺寸的准级式胶质旋转方案上有界的衍生类别的相干滑轮类别具有强大的发电机,从而在粘结量den bergh的意义上具有强大的发电机。这扩展了Neeman的最新结果,即使在仿射案例中,也是新的。主要成分包括Gabber弱的局部统一定理以及方案形态的界限和后代的概念。

We prove that the bounded derived category of coherent sheaves on a quasicompact separated quasiexcellent scheme of finite dimension has a strong generator in the sense of Bondal-Van den Bergh. This extends a recent result of Neeman and is new even in the affine case. The main ingredient includes Gabber's weak local uniformization theorem and the notions of boundedness and descendability of a morphism of schemes.

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