PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.146, no.12, pp.5015 - 5023
AMER MATHEMATICAL SOC
In this paper, we will show that the Hesselink stratification of a
Hilbert scheme of hypersurfaces is independent of the choice of Pl¨ucker coordinate
and there is a positive relation between the length of Hesselink’s worst
virtual 1-parameter subgroup and multiplicity of a projective hypersurface.