Instability and singularity of projective hypersurfaces
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- by Cheolgyu Lee PDF
- Proc. Amer. Math. Soc. 146 (2018), 5015-5023 Request permission
Abstract:
In this paper, we will show that the Hesselink stratification of a Hilbert scheme of hypersurfaces is independent of the choice of Plücker coordinate and there is a positive relation between the length of Hesselink’s worst virtual 1-parameter subgroup and multiplicity of a projective hypersurface.References
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Additional Information
- Cheolgyu Lee
- Affiliation: Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang 37673, Republic of Korea —and— Department of Mathematics, POSTECH, 77 Cheongam-ro, Nam-gu, Pohang, Gyeongbuk, 37673, Republic of Korea
- MR Author ID: 1251191
- Email: ghost279.math@gmail.com
- Received by editor(s): April 24, 2017
- Published electronically: September 4, 2018
- Additional Notes: This work was supported by IBS-R003-D1. I would like to thank Kyoung-Seog Lee and Wanmin Liu for useful discussions.
- Communicated by: Jerzy Weyman
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 5015-5023
- MSC (2010): Primary 14L24
- DOI: https://doi.org/10.1090/proc/14247
- MathSciNet review: 3866842