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arXiv · 1306.0870

Prescribed subintegral extensions of local Noetherian domains

Bruce Olberding
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Abstract

We show how subintegral extensions of certain local Noetherian domains $S$ can be constructed with specified invariants including reduction number, Hilbert function, multiplicity and local cohomology. The construction behaves analytically like Nagata idealization but rather than a ring extension of $S$, it produces a subring $R$ of $S$ such that $R \subseteq S$ is subintegral.

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Bruce Olberding. 2013-06-04. Prescribed subintegral extensions of local Noetherian domains. https://arxiv.org/abs/1306.0870

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