Hilbert scheme of twisted cubics as a simple wall-crossing-Reference-Cited by-同舟云学术

Hilbert scheme of twisted cubics as a simple wall-crossing

Published:2018-04-04 Issue:8 Volume:370 Page:5535-5559
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Xia Bingyu

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2018-370-08/S0002-9947-2018-07150-1/S0002-9947-2018-07150-1.pdf

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