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arxiv: math/0510397 · v1 · submitted 2005-10-18 · 🧮 math.AC

A Theorem of Eakin and Sathaye and Green's Hyperplane Restriction Theorem

classification 🧮 math.AC
keywords theoremeakingreenhyperplaneidealrestrictionsathayecase
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A Theorem of Eakin and Sathaye relates the number of generators of a certain power of an ideal with the existence of a distinguished reduction for that ideal. We prove how this result can be obtained as a special case of Green's General Hyperplane Restriction Theorem.

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