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math.AC2015★ 2 cited
Families of artinian and low dimensional determinantal rings
Jan O. Kleppe
Let GradAlg(H) be the scheme parameterizing graded quotients of R=k[x_0,...,x_n] with Hilbert function H (it is a subscheme of the Hilbert scheme of P^n if we restrict to quotients…
math.AC2013★ 2 cited
Additive Splittings of Homogeneous Polynomials
Johannes Kleppe
In this thesis we study when a homogeneous polynomial decomposes or "splits" additively. Up to base change this means that it is possible to write where and …
math.AC2006
Families of Artinian and one-dimensional algebras
Jan O. Kleppe
The purpose of this paper is to study families of Artinian or one dimensional quotients of a polynomial ring with a special look to level algebras. Let $\GradAlg^H(R)$ be the s…