论文标题
某些当地的曲曲calabi-yau的Hilbert方案上的D临界基因座结构三倍
D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds
论文作者
论文摘要
D临界基因座的概念是[BJM19]的动机唐纳森 - 托马斯不变的定义的成分。在本文中，我们表明，在某些局部的曲曲面calabi-yau上，希尔伯特尺寸零亚的希尔伯特方案上有一个d临界基因座结构3倍。我们还表明，使用此D临界基因座结构和方向数据的选择，由此产生的动机不变性与[BBS13]先前作品给出的定义一致。
The notion of a d-critical locus is an ingredient in the definition of motivic Donaldson-Thomas invariants by [BJM19]. In this paper we show that there is a d-critical locus structure on the Hilbert scheme of dimension zero subschemes on some local toric Calabi-Yau 3-folds. We also show that using this d-critical locus structure and a choice of orientation data, the resulting motivic invariants agree with the definition given by the previous work of [BBS13].
