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.References
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Additional Information
- Bingyu Xia
- Affiliation: Department of Mathematics, The Ohio State University, 231 W 18th Avenue, Columbus, Ohio 43210-1174
- Email: xia.128@osu.edu
- Received by editor(s): August 29, 2016
- Received by editor(s) in revised form: December 3, 2016
- Published electronically: April 4, 2018
- Additional Notes: This research was partially supported by NSF grants DMS-1302730 and DMS-1523496 (PI Emanuele Macrì) and a Graduate Special Assignment of the Mathematics Department of Ohio State University.
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 5535-5559
- MSC (2010): Primary 14F05; Secondary 14H45, 14J60, 18E30
- DOI: https://doi.org/10.1090/tran/7150
- MathSciNet review: 3803142