论文标题

倾斜心和模量稳定对的一些引号方案

Some Quot schemes in tilted hearts and moduli spaces of stable pairs

论文作者

Rota, Franco

论文摘要

对于平滑的投射品种$ x $,我们研究了$ d^b(\ mathrm {coh}(x))$的非标准$ t $结构中引号函子的类似物。技术框架是$ t $结构的家庭,如Arxiv:1902.08184所研究。我们提供了几个例子,并提出了进一步研究的可能方向,因为我们重新解释了稳定对的模量空间,从thaddeus(arxiv:alg-geom/9210007)和huybrechts-lehn(arxiv:arxiv:alg-geom/9211001)的情况下,作为被情况的实例。

For a smooth projective variety $X$, we study analogs of Quot functors in hearts of non-standard $t$-structures of $D^b(\mathrm{Coh}(X))$. The technical framework is that of families of $t$-structures, as studied in arXiv:1902.08184. We provide several examples and suggest possible directions of further investigation, as we reinterpret moduli spaces of stable pairs, in the sense of Thaddeus (arXiv:alg-geom/9210007) and Huybrechts-Lehn (arXiv:alg-geom/9211001), as instances of Quot schemes.

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