Tautological integrals on curvilinear Hilbert schemes
Algebraic Geometry
2018-03-16 v2
Abstract
We take a new look at the curvilinear Hilbert scheme of points on a smooth projective variety as a projective completion of the non-reductive quotient of holomorphic map germs from the complex line into by polynomial reparametrisations. Using an algebraic model of this quotient coming from global singularity theory we develop an iterated residue formula for tautological integrals over curvilinear Hilbert schemes.
Cite
@article{arxiv.1510.09206,
title = {Tautological integrals on curvilinear Hilbert schemes},
author = {Gergely Bérczi},
journal= {arXiv preprint arXiv:1510.09206},
year = {2018}
}
Comments
Minor corrections+explanatory sections on equivariant duals and localisation from arXiv:1011.4710 are shortened