Nef cones of nested Hilbert schemes of points on surfaces
Algebraic Geometry
2021-11-04 v2
Abstract
Let be the projective plane, a Hirzebruch surface, or a general surface. In this paper, we study the birational geometry of various nested Hilbert schemes of points parameterizing pairs of zero-dimensional subschemes on . We calculate the nef cone for two types of nested Hilbert schemes: and universal families. As an application, we recover a theorem of Butler on syzygies on Hirzebruch surfaces.
Cite
@article{arxiv.1708.00903,
title = {Nef cones of nested Hilbert schemes of points on surfaces},
author = {Tim Ryan and Ruijie Yang},
journal= {arXiv preprint arXiv:1708.00903},
year = {2021}
}
Comments
23 Pages. IMRN, 2018