Connectedness of the Hilbert scheme
Publications Mathématiques de l'IHÉS, Tome 29 (1966), pp. 5-48 
@article{PMIHES_1966__29__5_0,
     author = {Hartshorne, Robin},
     title = {Connectedness of the {Hilbert} scheme},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {5--48},
     year = {1966},
     publisher = {Institut des Hautes Etudes Scientifiques},
     volume = {29},
     mrnumber = {35 #4232},
     zbl = {0171.41502},
     language = {en},
     url = {https://www.numdam.org/item/PMIHES_1966__29__5_0/}
}
TY  - JOUR
AU  - Hartshorne, Robin
TI  - Connectedness of the Hilbert scheme
JO  - Publications Mathématiques de l'IHÉS
PY  - 1966
SP  - 5
EP  - 48
VL  - 29
PB  - Institut des Hautes Etudes Scientifiques
UR  - https://www.numdam.org/item/PMIHES_1966__29__5_0/
LA  - en
ID  - PMIHES_1966__29__5_0
ER  - 
%0 Journal Article
%A Hartshorne, Robin
%T Connectedness of the Hilbert scheme
%J Publications Mathématiques de l'IHÉS
%D 1966
%P 5-48
%V 29
%I Institut des Hautes Etudes Scientifiques
%U https://www.numdam.org/item/PMIHES_1966__29__5_0/
%G en
%F PMIHES_1966__29__5_0
Hartshorne, Robin. Connectedness of the Hilbert scheme. Publications Mathématiques de l'IHÉS, Tome 29 (1966), pp. 5-48. https://www.numdam.org/item/PMIHES_1966__29__5_0/

[1] M. Auslander and D. Buchsbaum, Codimension and multiplicity, Ann. of Math., 68 (1958), 625-657. | Zbl | MR

[2] A. Borel and J.-P. Serre, Le théorème de Riemann-Roch, Bull. Soc. Math. France, 86 (1958), 97-136. | Zbl | MR | Numdam

[3] N. Bourbaki, Éléments de mathématique : Algèbre commutative, Act. Sci. et Ind., 1290, 1293, Hermann, Paris (1961). | MR

[4] H. Cartan and C. Chevalley, Géométrie algébrique, mimeo. notes, Secr. Math., Paris (1955-1956).

[5] C. Chevalley, Classification des groupes de Lie algébriques, mimeo. notes, Secr. Math., Paris (1956-1958).

[6] R. Godement, Groupes linéaires algébriques sur un corps parfait, Sém. Bourbaki, 13 (1960-1961), exposé 206. | Zbl | Numdam

SGA : A. Grothendieck, Séminaire de géométrie algébrique, mimeo. notes, I.H.E.S., Paris (1960).

EGA : A. Grothendieck and J. Dieudonné, Éléments de géométrie algébrique, Publ. Math. de l'I.H.E.S., 4, 8, 11, Paris (1960, 1961). | Numdam

[7] A. Grothendieck, Local properties of morphisms, course given at Harvard University, fall term 1961-1962.

[8] A. Grothendieck, Construction techniques in algebraic geometry, seminar given at Harvard University, fall term 1961-1962 (notes by LICHTENBAUM, to appear).

FGA : A. Grothendieck, Fondements de la géométrie algébrique, extraits du Sém. Bourbaki, 1957-1962, mimeo. notes, Secr. Math., Paris (1962). | Zbl

[9] S. Lang, Introduction to algebraic geometry, Interscience tracts in pure and applied math, 5, Interscience, N.Y. (1958). | Zbl | MR

[10] M. Nagata, Local Rings, Interscience tracts in pure and applied math, 13, Wiley, N.Y. (1962). | Zbl | MR

FAC : J.-P. Serre, Faisceaux algébriques cohérents, Ann. of Math., 61 (1955), 197-278. | Zbl | MR

[11] B. L. Van Der Waerden, Modern algebra, Ungar, N.Y. (1953).

ZS : O. Zariski and P. Samuel, Commutative algebra, in two volumes, Van Nostrand, Princeton (1958, 1960). | Zbl

[12] W.-L. Chow and B. L. Van Der Waerden, Über zugeordnete Formen und algebraische Systeme von algebraischen Mannigfaltigkeiten, Math. Annalen, 113 (1937), 692-704. | Zbl | JFM

[13] D. Mumford, Further pathologies in algebraic geometry, Amer. J. Math., 84 (1962), 642-648. | Zbl | MR

[14] M. Noether, Zur Grundlegung der Theorie der algebraischen Raumcurven, Steinersche Preisschrift, Verlag d. könig. Akad. d. Wiss., Berlin (1883). | JFM

[15] F. S. Macaulay, Some properties of enumeration in the theory of modular systems, Proc. Lond. Math. Soc. (2), 26 (1926), 531-555. | JFM