On Complete Intersections Contained in Cohen-Macaulay and Gorenstein Ideals-Reference-Cited by-同舟云学术

On Complete Intersections Contained in Cohen-Macaulay and Gorenstein Ideals

Published:2011-12 Issue:spec01 Volume:18 Page:857-872
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Ragusa Alfio¹,Zappalà Giuseppe¹

Affiliation:

1. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy

Abstract

We look for complete intersections containing certain arithmetically Cohen-Macaulay schemes, and give a complete description in the case of 2-codimensional arithmetically Cohen-Macaulay schemes and 3-codimensional arithmetically Gorenstein schemes. In particular, we prove that in these cases the sets of types of complete intersections containing such schemes have a unique minimal element and we compute it.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386711000745

Reference17 articles.

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2. On ideals of finite homoloǵical dimension in local rings

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