Skip to main content

Compressed algebras and components of the punctual Hilbert scheme

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1124))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Briançon, Description de HilbnC{x, y}. Invent. Math. 41(1977) 447–485.

    Article  Google Scholar 

  2. J. Briançon and A. Iarrobino, Dimension of the punctual Hilbert scheme Journal of Algebra 55 (1978), 536–544.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Buchweitz, Deformations de diagrammes, déploiements et singularités très rigides, liaison algébrique, Thèse, Université de Paris, VII, 1981.

    Google Scholar 

  4. J. Elias and A. Iarrobino, Compressed algebras of codimension three, Preprint.

    Google Scholar 

  5. J. Emsalem, Géometrie des points épais, Bull. Soc. Math. de France 106(1978), 399–416.

    MathSciNet  MATH  Google Scholar 

  6. Froberg and D. Laksov, preprint

    Google Scholar 

  7. T. Gaffney Multiple points, chaining and Hilbert schemes, preprint

    Google Scholar 

  8. A. Galligo Hilbert scheme as flattener, Proc. Symposia Pure Math. Vol. 40, A.M.S. Singularities, I, 449–452 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  9. J.H. Grace and A. Young, The algebra of invariants. Cambridge Univ. Press, 1903, reprint Chelsea, New York.

    Google Scholar 

  10. M. Granger, Géometrie des schémas de Hilbert ponctuels, Memoires Soc. Math. de France, (N.S.) No. 8 (1983).

    Google Scholar 

  11. E.L. Green, Complete intersections and Gorenstein ideals, J. Algebra 52 (1978), 264–273.

    Article  MathSciNet  MATH  Google Scholar 

  12. A. Iarrobino, Number of generic singularities, Rice Univ. Stud. 59(1972), 49–52.

    MathSciNet  Google Scholar 

  13. A. Iarrobino, Deforming complete intersection Artin algebras, Proc. Symposia Pure Math. vol. 40, A.M.S., Singularities, I, 593–608(1983)

    Article  MathSciNet  MATH  Google Scholar 

  14. A. Iarrobino, Compressed algebras: Artin algebras having given socle degrees and maximal length, Trans. A.M.S., 285 (1984), 337–378.

    Article  MathSciNet  MATH  Google Scholar 

  15. A. Iarrobino and J. Emsalem, Some zero-dimensional generic singularities: finite algebras having small tangent space, Compositio Math. 36(1978), 145–188.

    MathSciNet  MATH  Google Scholar 

  16. H. Kleppe, Deformations of schemes defined by vanishing of Pfaffians, J. Algebra 53 (1978), 84–92

    Article  MathSciNet  MATH  Google Scholar 

  17. G. Mazzola, Generic finite schemes and Hochschild cocycles, Comment. Math. Helv. 55 (1980) 267–293.

    Article  MathSciNet  MATH  Google Scholar 

  18. P. Schenzel, Uber die freien Auflosungen extremaler Cohen-Macaulay-ringe, J. Algebra 64(1980), 93–101.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Eduard Casas-Alvero Gerald Welters Sebastian Xambó-Descamps

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Iarrobino, A. (1985). Compressed algebras and components of the punctual Hilbert scheme. In: Casas-Alvero, E., Welters, G., Xambó-Descamps, S. (eds) Algebraic Geometry Sitges (Barcelona) 1983. Lecture Notes in Mathematics, vol 1124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075000

Download citation

  • DOI: https://doi.org/10.1007/BFb0075000

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15232-3

  • Online ISBN: 978-3-540-39643-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics