Tautological integrals on Hilbert scheme of points I
Algebraic Geometry
2023-03-29 v2
Abstract
We develop a new method to study intersection theory of the main component of the Hilbert scheme of points on complex manifolds. The main result is an iterated residue formula for tautological integrals. We formulate a Chern-Segre-type positivity conjecture for these integrals, and we introduce higher dimensional Segre and Chern integrals.
Keywords
Cite
@article{arxiv.2303.14807,
title = {Tautological integrals on Hilbert scheme of points I},
author = {Gergely Bérczi},
journal= {arXiv preprint arXiv:2303.14807},
year = {2023}
}
Comments
51 pages. Preliminary version, comments are welcome. Survey parts shared with arXiv:2112.15502