Hilbert scheme of smooth space curves

Lawrence Ein

Annales scientifiques de l'École Normale Supérieure (1986)

  • Volume: 19, Issue: 4, page 469-478
  • ISSN: 0012-9593

How to cite

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Ein, Lawrence. "Hilbert scheme of smooth space curves." Annales scientifiques de l'École Normale Supérieure 19.4 (1986): 469-478. <http://eudml.org/doc/82182>.

@article{Ein1986,
author = {Ein, Lawrence},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {special curves; Hilbert scheme of smooth irreducible curves; space curves},
language = {eng},
number = {4},
pages = {469-478},
publisher = {Elsevier},
title = {Hilbert scheme of smooth space curves},
url = {http://eudml.org/doc/82182},
volume = {19},
year = {1986},
}

TY - JOUR
AU - Ein, Lawrence
TI - Hilbert scheme of smooth space curves
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1986
PB - Elsevier
VL - 19
IS - 4
SP - 469
EP - 478
LA - eng
KW - special curves; Hilbert scheme of smooth irreducible curves; space curves
UR - http://eudml.org/doc/82182
ER -

References

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  1. [1] E. ARBARELLO and M. CORNALBA, A few remarks about the variety of irreducible plane curves of given degree and genus (Ann. E.N.S., Vol. 16, 1983, pp. 467-488). Zbl0553.14009MR86a:14020
  2. [2] E. ARBARELLO, M. CORNALBA, P. GRIFFITHS and J. HARRIS, Geometry of algebraic curves, Vol. I, Springer-Verlag, Berlin-Heidelberg-New York, 1984. Zbl0559.14017
  3. [3] M. ARTIN, Deformation of singularities (Tata Lecture Notes, 1976). 
  4. [4] J. HARRIS, Curves in projective space (Sem. Math. Sup., 1982, Presses Univ. Montréal). Zbl0511.14014MR84g:14024
  5. [5] R. HARTSHORNE and A. HIRSCHOWITZ, Smoothing algebraic space curves, Preprint, 1984, Nice. Zbl0574.14028
  6. [6] L. GRUSON, R. LAZARSFELD and C. PESKINE, On a theorem of Castelnuovo and equations defining space curves (Invent. Math., Vol. 72, 1983, pp. 491-506. Zbl0565.14014MR85g:14033
  7. [7] S. MORI, Projective Manifolds with ample tangent bundles (Ann. of Math., Vol. 110, 1979, pp. 593-606). Zbl0423.14006MR81j:14010
  8. [8] F. SEVERI, Vorlesungen über algebraische Geometrie, E. Löffler Übersetzung, Leipzig, 1921. JFM48.0687.01

Citations in EuDML Documents

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  1. János Kollár, Extremal rays on smooth threefolds
  2. David Eisenbud, Joe Harris, Irreducibility of some families of linear series with Brill-Noether number. I
  3. Mireille Martin-Deschamps, Daniel Perrin, Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit
  4. André Hirschowitz, Existence de faisceaux réflexifs de rang deux sur P 3 à bonne cohomologie
  5. Jérôme Brun, André Hirschowitz, Le problème de Brill-Noether pour les idéaux de P 2

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