Instability and Singularity of Projective Hypersurfaces
Algebraic Geometry
2018-12-12 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1704.01679,
title = {Instability and Singularity of Projective Hypersurfaces},
author = {Cheolgyu Lee},
journal= {arXiv preprint arXiv:1704.01679},
year = {2018}
}
Comments
-Corrected the fractional power of determinants in the proof of Theorem 3.1 -Corrected explanations of lemmas and the theorem in the last section