On the motive of zero-dimensional Quot schemes on a curve
Algebraic Geometry
2019-07-02 v1
Abstract
For any locally free coherent sheaf on a fixed smooth projective curve, we study the class, in the Grothendieck ring of varieties, of the Quot scheme that parametrizes zero-dimensional quotients of the sheaf. We prove that this class depends only on the rank of the sheaf and on the length of the quotients. As an application, we obtain an explicit formula that expresses it in terms of the symmetric products of the curve.
Keywords
Cite
@article{arxiv.1907.00826,
title = {On the motive of zero-dimensional Quot schemes on a curve},
author = {Massimo Bagnarol and Barbara Fantechi and Fabio Perroni},
journal= {arXiv preprint arXiv:1907.00826},
year = {2019}
}