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On parameter spaces for artin level algebras

J. V. Chipalkatti·A. V. Geramita
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Abstract

The set of all artin level quotients of a polynomial algebra in n variables having specified socle degree and type admits a parameter space. It is in fact a quasiprojective variety, naturally embedded in a Grassmannian. We give a geometric description of this variety in the case of two variables. Then we give some sufficient conditions for the parameter variety to be projectively normal in the Plucker embedding.

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J. V. Chipalkatti, A. V. Geramita. 2003-01-10. On parameter spaces for artin level algebras. https://arxiv.org/abs/math/0204017

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