3 papers
math.AG2019
Deformation of Milnor Algebras
Zhenjian Wang
We investigate deformations of Milnor algebras of smooth homogeneous polynomials, and prove in particular that any smooth degree homogeneous polynomial in variables that…
math.AG2019
Monotonic invariants under blowups
Zhenjian Wang
We prove that the numerical invariant of a reduced irreducible plane curve singularity germ is non-negative, non-decreasing under blowups and strictly increasing unless the…
math.AG2018
On homogeneous polynomials determined by their partial derivatives
Zhenjian Wang
We prove that a generic homogeneous polynomial of degree is determined, up to a nonzero constant multiplicative factor, by the vector space spanned by its partial derivatives o…