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arxiv: 1409.3801 · v1 · pith:CSFUNX2Lnew · submitted 2014-09-12 · 🧮 math.AG

Complete intersections primitive structures on space curves

classification 🧮 math.AG
keywords primitivecompleteintersectionmultiplespacestructurecohenconditions
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A multiple (loc. Cohen Macaulay) structure, X, on a space curve C in P3 is said to be primitive if X is locally contained in a smooth surface. We give numerical conditions for C to be a "primitive" set theoretic complete intersection (i.e. to have a primitive multiple structure which is a complete intersection).

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