Prescribed subintegral extensions of local Noetherian domains

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.

25 pages; to appear in Journal of Pure and Applied Algebra