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Original Articles

A Construction of Multiplicity Class of Hypersurfaces From Hesselink Stratification of a Hilbert Scheme

References

  • Hesselink, W. H. (1978). Uniform instability in reductive groups. J. Reine Angew. Math. 303/304: 74–96
  • Kempf, G. R. (1978). Instability in invariant theory. Ann. Math. (2), 108(2): 299–316. doi:10.2307/1971168
  • Lee, C. (2018). Instability and singularity of projective hypersurfaces. Proc. Amer. Math. Soc. 146(12): 5015–5023.
  • Lee, C. (2020). Worst unstable points of a Hilbert scheme. J. Algebra 544: 92–124. doi:10.1016/j.jalgebra.2019.10.022
  • Morrison, I., Swinarski, D. (2011). Gröbner techniques for low-degree Hilbert stability. Exp. Math. 20(1): 34–56.
  • Mukai, S. (2003). An introduction to invariants and moduli, volume 81 of Cambridge Studies in Advanced Mathematics. Cambridge: Cambridge University Press. Translated from the 1998 and 2000 Japanese editions (Oxbury, W. M., trans.)
  • Mumford, D., Fogarty, J., and Kirwan, F. (1994). Geometric invariant theory, volume 34 of Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results in Mathematics and Related Areas (2)]. 3rd ed. Berlin: Springer-Verlag.
  • Nitsure, N. (2015). Construction of Hilbert and Quot schemes. arXiv e-prints.

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