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arxiv: 1311.0939 · v1 · pith:LFHH7ZI5new · submitted 2013-11-05 · 🧮 math.AC · math.AG

An application of liaison theory to the Eisenbud-Green-Harris conjecture

classification 🧮 math.AC math.AG
keywords conjectureeisenbud-green-harrisholdsidealsliaisonprovetheoryapplication
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In this paper, we apply liaison theory to the Eisenbud-Green-Harris conjecture and prove that the conjecture holds for a certain subclass of homogeneous ideals in the linkage class of a complete intersection ideal. In the case of three variables, we prove that the conjecture holds for Gorenstein ideals.

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