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arXiv · 1701.03089

The Hilbert scheme of 11 points in A^3 is irreducible

Theodosios Douvropoulos·Joachim Jelisiejew·Bernt Ivar Utstøl Nødland·Zach Teitler
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Abstract

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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Theodosios Douvropoulos, Joachim Jelisiejew, Bernt Ivar Utstøl Nødland, Zach Teitler. 2017-01-11. The Hilbert scheme of 11 points in A^3 is irreducible. https://arxiv.org/abs/1701.03089

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