Hilbert functions of graded algebras over Artinian rings ∗

@inproceedings{Blancafort1995HilbertFO,
title={Hilbert functions of graded algebras over Artinian rings ∗},
author={Cristina Blancafort},
year={1995}
}

Cristina Blancafort

Published 1995

In this paper we give an effective characterization of Hilbert functions and polynomials of standard algebras over an Artinian equicharacteristic local ring; the cohomological properties of such algebras are also studied. We describe algorithms to check the admissibility of a given function or polynomial as a Hilbert function or polynomial, and to produce a standard algebra with a given Hilbert function.

volume 39 of Cambridge studies in advanced mathematics. Cambridge University Press • 1993

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