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Hilbert scheme of twisted cubics as simple wall-crossing

Published 16 Aug 2016 in math.AG | (1608.04609v1)

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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