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arxiv: 1701.03089 · v1 · pith:56HV4J7Wnew · submitted 2017-01-11 · 🧮 math.AG · math.AC

The Hilbert scheme of 11 points in A³ is irreducible

classification 🧮 math.AG math.AC
keywords hilbertschemeirreduciblepointscoursecurvesknownproducing
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We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme.

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