The Hilbert schemes of degree three curves
Nollet, Scott
Annales scientifiques de l'École Normale Supérieure, Tome 30 (1997), p. 367-384 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{ASENS_1997_4_30_3_367_0,
     author = {Nollet, Scott},
     title = {The Hilbert schemes of degree three curves},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {30},
     year = {1997},
     pages = {367-384},
     doi = {10.1016/s0012-9593(97)89925-9},
     mrnumber = {99a:14003},
     zbl = {0892.14004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1997_4_30_3_367_0}
}

Nollet, Scott. The Hilbert schemes of degree three curves. Annales scientifiques de l'École Normale Supérieure, Tome 30 (1997) pp. 367-384. doi : 10.1016/s0012-9593(97)89925-9. http://gdmltest.u-ga.fr/item/ASENS_1997_4_30_3_367_0/

[1] C. Banica, Structures Doubles et Triples sur un Sous-Espace Complexe (Applications, Banach Center Publications, Vol. 20, 1988, pp. 15-30). | MR 1101828 | MR 92j:14021 | Zbl 0727.14002

[2] C. Banica and O. Forster, Multiplicity Structures on Space Curves (Contemporary Mathematics, Vol. 58, 1986, pp. 47-64). | MR 860403 | MR 88c:32018 | Zbl 0605.14026

[3] Ph. Ellia, On the cohomology of projective space curves (Bollettino U.M.I., Vol. 9-A, 1995, pp. 593-607). | MR 1363560 | MR 96k:14022 | Zbl 0866.14020

[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). | Numdam | MR 393020 | MR 52 #13831 | Zbl 0325.14002

[5] R. Hartshorne, Algebraic Geometry GTM, Vol. 52, Springer-Verlag, Berlin, Heidelberg and New York, 1977. | MR 463157 | MR 57 #3116 | Zbl 0367.14001

[6] R. Hartshorne, Connectedness of the Hilbert Scheme (Publ. Math. IHES, Vol. 29, 1966, pp. 6-48). | Numdam | MR 213368 | MR 35 #4232 | Zbl 0171.41502

[7] R. Hartshorne, Genus of Space Curves (Annali Dell' Università di Ferrara, Sezione VII - Scienze Matematiche, Vol. 40, 1994, pp. 207-223). | MR 1399631 | MR 97d:14044 | Zbl 0865.14013

[8] R. Liebling, Classification of Space Curves using Initial Ideals U.C. Berkeley PhD thesis 1996. | MR 2694809

[9] J. Migliore, On linking Double Lines (Trans. AMS, Vol. 294, 1986, pp. 177-185). | MR 819941 | MR 87i:14028 | Zbl 0596.14019

[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). | MR 1301773 | MR 95k:14070 | Zbl 0842.14035

[11] M. Martin-Deschamps and D. Perrin, Sur la Classification des Courbes Gauches (Astérisque, Vol. 184-185, 1990). | MR 1073438 | MR 91h:14039 | Zbl 0717.14017

[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). | MR 1257231 | MR 95e:14023 | Zbl 0796.14029

[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). | Numdam | MR 1422990 | MR 98a:14003 | Zbl 0892.14005

[14] C. Okonek and H. Spindler, Das Spektrum Torsionsfreier Garben II (Springer LNM, Vol. 1165, 1985, pp. 211-234). | MR 825758 | MR 87d:14012 | Zbl 0581.14011 | Zbl 0581.14010

[15] T. Sauer, Nonstable Reflexive Sheaves on ℙ3 (Trans. A.M.S., Vol. 281, 1984, pp. 633-655). | MR 722766 | MR 85c:14010 | Zbl 0526.14007