Hilbert scheme of twisted cubics as a simple wall-crossing

Xia, Bingyu

doi:10.1090/tran/7150

Hilbert scheme of twisted cubics as a simple wall-crossing
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by Bingyu Xia PDF

Trans. Amer. Math. Soc. 370 (2018), 5535-5559 Request permission

Abstract:

We study the Hilbert scheme of twisted cubics in 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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