A construction of multiplicity class of hypersurfaces from Hesselink stratification of a Hilbert scheme
arXiv:1811.06730 · doi:10.1080/10586458.2021.1978117
Abstract
It is well-known that there is a positive relationship between the maximal multiplicity and the length of the associated virtual 1-parameter subgroup of a projective hypersurface. In this paper, we will define the multiplicity classes of hypersurfaces and construct them from the Hesselink stratification of a Hilbert scheme.
arXiv commentSeveral examples and pictures have been added. Typos have been fixed. This is the final version of the paper and had been accepted for publication in Experimental Mathematics