A construction of multiplicity class of hypersurfaces from Hesselink stratification of a Hilbert scheme
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.
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