%0 Generic %1 braden2022perverse %A Braden, Tom %A Mautner, Carl %D 2022 %K Perverse sheaves %T Perverse sheaves on symmetric products of the plane %U http://arxiv.org/abs/2208.14351 %X For any field $k$, we give an algebraic description of the category $Perv_S(S^n (C^2),k)$ of perverse sheaves on the $n$-fold symmetric product of the plane $S^n(C^2)$ constructible with respect to its natural stratification and with coefficients in $k$. As part of our description we obtain an analogue of modular Springer theory for the Hilbert scheme $Hilb^n(C^2)$ of $n$ points in the plane with its Hilbert-Chow morphism.

@misc{braden2022perverse, abstract = {For any field $k$, we give an algebraic description of the category $\mathrm{Perv}_\mathscr{S}(S^n (\mathbb{C}^2),k)$ of perverse sheaves on the $n$-fold symmetric product of the plane $S^n(\mathbb{C}^2)$ constructible with respect to its natural stratification and with coefficients in $k$. As part of our description we obtain an analogue of modular Springer theory for the Hilbert scheme $\mathrm{Hilb}^n(\mathbb{C}^2)$ of $n$ points in the plane with its Hilbert-Chow morphism.}, added-at = {2022-08-31T17:33:59.000+0200}, author = {Braden, Tom and Mautner, Carl}, biburl = {https://www.bibsonomy.org/bibtex/2a304111f9cc463509c0012869844c3e8/dragosf}, description = {Perverse sheaves on symmetric products of the plane}, interhash = {0221de0cb5446edde95337c11b4497a3}, intrahash = {a304111f9cc463509c0012869844c3e8}, keywords = {Perverse sheaves}, note = {cite arxiv:2208.14351Comment: 45 pages}, timestamp = {2022-08-31T17:33:59.000+0200}, title = {Perverse sheaves on symmetric products of the plane}, url = {http://arxiv.org/abs/2208.14351}, year = 2022 }