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On Teter rings

Part of: Local rings and semilocal rings Cycles and subschemes

Published online by Cambridge University Press:  06 January 2017

Juan Elias  and
Marcela Silva Takatuji
Juan Elias
Affiliation:
Departament d'Àlgebra i Geometria, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain ([email protected])
Marcela Silva Takatuji
Affiliation:
CCE–UEM, Universidade Estadual de MaringÀ, Avenida Colombo 5790, Bloco F67, 2 andar, sala 240, Brazil ([email protected])
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Extract

We give a new characterization, in the equicharacteristic case, of Teter rings by using Macaulay inverse systems. We extend the previous characterizations due to Teter, to Huneke and Vraciu and to Ananthnarayan et al., to any characteristic of the ground field and remove the hypothesis on the socle ideal. We construct and describe the variety parametrizing Teter covers and we show how to check if an Artin ring is Teter. If this is the case, we show how to compute a Teter cover.

Keywords

Gorenstein idealsArtin ringsHilbert functions

MSC classification

Secondary: 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) 13H15: Multiplicity theory and related topics 14C05: Parametrization (Chow and Hilbert schemes)
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 1 , February 2017 , pp. 125 - 139
Copyright
Copyright © Royal Society of Edinburgh 2017 

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