K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces
Algebraic Geometry
2022-10-18 v3 Combinatorics
Abstract
We study the holomorphic Euler characteristics of tautological sheaves on Hilbert schemes of points on surfaces. In particular, we establish the rationality of K-theoretic descendent series. Our approach is to control equivariant holomorphic Euler characteristics over the Hilbert scheme of points on the affine plane. To do so, we slightly modify a Macdonald polynomial identity of Mellit.
Keywords
Cite
@article{arxiv.2201.07392,
title = {K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces},
author = {Noah Arbesfeld},
journal= {arXiv preprint arXiv:2201.07392},
year = {2022}
}