Instability and Singularity of Projective Hypersurfaces

Abstract

In this paper, we will show that the Hesselink stratification of a Hilbert scheme of hypersurfaces is independent of the choice of Plücker coordinate and there is a positive relation between the length of Hesselink's worst virtual 1-parameter subgroup and multiplicity of a projective hypersurface.

-Corrected the fractional power of determinants in the proof of Theorem 3.1 -Corrected explanations of lemmas and the theorem in the last section

Cited by in corpus (2)

• Worst Unstable Points of a Hilbert Scheme
• A construction of multiplicity class of hypersurfaces from Hesselink stratification of a Hilbert scheme