Inequidimensionality of Hilbert schemes
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- by Mei-Chu Chang PDF
- Proc. Amer. Math. Soc. 125 (1997), 2521-2526 Request permission
Abstract:
We give a lower bound on the number of distinct dimensions of irreducible components of the Hilbert scheme of codimension 2 subvarieties in $\mathbb {P}^{n}$, for $n \le 5$ (respectively, the moduli space of surfaces or 3-folds) in terms of the Hilbert polynomial (resp. Chern numbers).References
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Additional Information
- Mei-Chu Chang
- Affiliation: School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
- Address at time of publication: Department of Mathematics, University of California, Riverside, California 92521
- Email: mcc@math.ias.edu, mcc@math.ucr.edu
- Received by editor(s): October 5, 1995
- Received by editor(s) in revised form: March 14, 1996
- Additional Notes: The author was partially supported by NSF Grant No. DMS 9304580.
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2521-2526
- MSC (1991): Primary 14J29; Secondary 14M07, 14M12
- DOI: https://doi.org/10.1090/S0002-9939-97-03836-7
- MathSciNet review: 1389509