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arXiv · 1608.04609

Hilbert scheme of twisted cubics as simple wall-crossing

Bingyu Xia
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Abstract

We study the Hilbert scheme of twisted cubics in the three-dimensional projective space by using Bridgeland stability conditions. We use wall-crossing techniques to describe its geometric structure and singularities, which reproves the classical result of Piene and Schlessinger.

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Bingyu Xia. 2016-08-16. Hilbert scheme of twisted cubics as simple wall-crossing. https://arxiv.org/abs/1608.04609

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