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

On Complete Intersections Contained in Cohen Macaulay and Gorenstein ideals

Ragusa A;ZAPPALA', Giuseppe
2011-01-01

Abstract

We look for complete intersections containing certain arithmetically Cohen-Macaulay schemes, and give a complete description in the case of 2-codimensional arithme-tically Cohen-Macaulay schemes and 3-codimensional arithmetically Gorenstein schemes.In particular, we prove that in these cases the sets of types of complete intersectionscontaining such schemes have a unique minimal element and we compute it.
2011
Gorenstein schemes; pfaffians; complete intersections
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/9591
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