%0 Generic %1 rota2020schemes %A Rota, Franco %D 2020 %K quot %T Some Quot schemes in tilted hearts and moduli spaces of stable pairs %U http://arxiv.org/abs/2005.02202 %X For a smooth projective variety $X$, we study analogs of Quot functors in hearts of non-standard $t$-structures of $D^b(Coh(X))$. 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.

@misc{rota2020schemes, abstract = {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.}, added-at = {2020-05-06T09:22:39.000+0200}, author = {Rota, Franco}, biburl = {https://www.bibsonomy.org/bibtex/28395e286711f28c6624e6462157467f3/simonechiarello}, description = {Some Quot schemes in tilted hearts and moduli spaces of stable pairs}, interhash = {e841a56cfc977637a35288cce782ef48}, intrahash = {8395e286711f28c6624e6462157467f3}, keywords = {quot}, note = {cite arxiv:2005.02202Comment: 26 pages, 1 figure. Subsumes results from Chapter 2 of the author's PhD thesis. Comments are welcome!}, timestamp = {2020-05-06T09:22:39.000+0200}, title = {Some Quot schemes in tilted hearts and moduli spaces of stable pairs}, url = {http://arxiv.org/abs/2005.02202}, year = 2020 }