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math.CV2011★ 11 cited
Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics
Dusty Grundmeier, Jiri Lebl, Liz Vivas
Using Green's hyperplane restriction theorem, we prove that the rank of a Hermitian form on the space of holomorphic polynomials is bounded by a constant depending only on the maxi…
math.AG2011
Polynomials constant on a hyperplane and CR maps of spheres
Jiri Lebl, Han Peters
We prove a sharp degree bound for polynomials constant on a hyperplane with a fixed number of nonnegative distinct monomials. This bound was conjectured by John P. D'Angelo, proved…