Inequidimensionality of Hilbert schemes

DOI10.1090/S0002-9939-97-03836-7zbMath0883.14001OpenAlexW1585744303MaRDI QIDQ4372349

Mei-Chu Chang

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03836-7

zbMATH Keywords

moduli spaceHilbert schemeHilbert polynomialChern numbers

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Parametrization (Chow and Hilbert schemes) (14C05) Families, moduli, classification: algebraic theory (14J10) Low codimension problems in algebraic geometry (14M07)

Related Items (4)

Hilbert scheme of some threefold scrolls over the Hirzebruch surface \({\mathbb F}_1\) ⋮ Hilbert schemes of some threefold scrolls over \(\mathbb{F}_{e}\) ⋮ The Dimension of the Hilbert Scheme of Special Threefolds^# ⋮ A polynomial bound in Freiman's theorem.

Cites Work

• On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author
• Connected components of moduli spaces
• Iterated double covers and connected components of moduli spaces
• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
• ON THE NUMBER OF IRREDUCIBLE COMPONENTS OF THE HILBERT SCHEME OF SMOOTH SPACE CURVES
• THE NUMBER OF COMPONENTS OF HILBERT SCHEMES
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