The Hilbert schemes of degree three curves

Scott Nollet

Annales scientifiques de l'École Normale Supérieure (1997)

  • Volume: 30, Issue: 3, page 367-384
  • ISSN: 0012-9593

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Nollet, Scott. "The Hilbert schemes of degree three curves." Annales scientifiques de l'École Normale Supérieure 30.3 (1997): 367-384. <http://eudml.org/doc/82436>.

@article{Nollet1997,
author = {Nollet, Scott},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {locally Cohen-Macaulay space curve; Rao module; Koszul module; Hilbert scheme; connectedness},
language = {eng},
number = {3},
pages = {367-384},
publisher = {Elsevier},
title = {The Hilbert schemes of degree three curves},
url = {http://eudml.org/doc/82436},
volume = {30},
year = {1997},
}

TY - JOUR
AU - Nollet, Scott
TI - The Hilbert schemes of degree three curves
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1997
PB - Elsevier
VL - 30
IS - 3
SP - 367
EP - 384
LA - eng
KW - locally Cohen-Macaulay space curve; Rao module; Koszul module; Hilbert scheme; connectedness
UR - http://eudml.org/doc/82436
ER -

References

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  1. [1] C. BANICA, Structures Doubles et Triples sur un Sous-Espace Complexe (Applications, Banach Center Publications, Vol. 20, 1988, pp. 15-30). Zbl0727.14002MR92j:14021
  2. [2] C. BANICA and O. FORSTER, Multiplicity Structures on Space Curves (Contemporary Mathematics, Vol. 58, 1986, pp. 47-64). Zbl0605.14026MR88c:32018
  3. [3] Ph. ELLIA, On the cohomology of projective space curves (Bollettino U.M.I., Vol. 9-A, 1995, pp. 593-607). Zbl0866.14020MR96k:14022
  4. [4] G. ELLINGSRUD, Sur le schéma de Hilbert des variétés de codimension 2 dans ℙe à cône Cohen-Macaulay (Ann. Scient. E.N.S., 4e série, Vol. 8, 1975, pp. 423-432). Zbl0325.14002MR52 #13831
  5. [5] R. HARTSHORNE, Algebraic Geometry GTM, Vol. 52, Springer-Verlag, Berlin, Heidelberg and New York, 1977. Zbl0367.14001MR57 #3116
  6. [6] R. HARTSHORNE, Connectedness of the Hilbert Scheme (Publ. Math. IHES, Vol. 29, 1966, pp. 6-48). Zbl0171.41502MR35 #4232
  7. [7] R. HARTSHORNE, Genus of Space Curves (Annali Dell' Università di Ferrara, Sezione VII - Scienze Matematiche, Vol. 40, 1994, pp. 207-223). Zbl0865.14013MR97d:14044
  8. [8] R. LIEBLING, Classification of Space Curves using Initial Ideals U.C. Berkeley PhD thesis 1996. 
  9. [9] J. MIGLIORE, On linking Double Lines (Trans. AMS, Vol. 294, 1986, pp. 177-185). Zbl0596.14019MR87i:14028
  10. [10] J. MIGLIORE, An Introduction to Deficiency Modules and Liaison Theory for Subschemes of Projective Space Lecture Note Series No., Vol. 24, (Research Institute of Mathematics, Global Analysis Research Center, Seoul National University, 1994). Zbl0842.14035MR95k:14070
  11. [11] M. Martin-Deschamps and D. Perrin, Sur la Classification des Courbes Gauches (Astérisque, Vol. 184-185, 1990). Zbl0717.14017MR91h:14039
  12. [12] M. Martin-Deschamps and D. Perrin, Sur les bornes du module de Rao (C.R. Acad. Sci. Paris, t. 317, Série I, 1993, pp. 1159-1162). Zbl0796.14029MR95e:14023
  13. [13] M. Martin-Deschamps and D. Perrin, Le Schéma de Hilbert des Courbes Gauches localement Cohen-Macaulay n'est (presque) jamais réduit, (Ann. Scient. E.N.S. 4e série, Vol. 29, 1996, pp. 757-785). Zbl0892.14005MR98a:14003
  14. [14] C. OKONEK and H. SPINDLER, Das Spektrum Torsionsfreier Garben II (Springer LNM, Vol. 1165, 1985, pp. 211-234). Zbl0581.14010MR87d:14012
  15. [15] T. SAUER, Nonstable Reflexive Sheaves on ℙ3 (Trans. A.M.S., Vol. 281, 1984, pp. 633-655). Zbl0526.14007MR85c:14010

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