Tautological Integrals on Hilbert Schemes of Points on Curves
Algebraic Geometry
2016-04-18 v3
Abstract
We propose a conjecture on the generating series of Chern numbers of tautological bundles on Hilbert schemes of points on curves and establish the rank 1 and rank -1 case of this conjecture. Thus we compute explicitly the generating series of integrals of the Segre classes of tautological bundles of line bundles on curves, which has a similar structure as Lehn's conjecture for surfaces.
Keywords
Cite
@article{arxiv.1506.08405,
title = {Tautological Integrals on Hilbert Schemes of Points on Curves},
author = {Zhilan Wang},
journal= {arXiv preprint arXiv:1506.08405},
year = {2016}
}
Comments
12 pages. Accepted by Acta Mathematica Sinica, English Series