Connectedness of the Hilbert scheme

M. Auslander andD. Buchsbaum, Codimension and multiplicity,Ann. of Math., 68 (1958), 625–657. A. Borel andJ.-P. Serre, Le théorème de Riemann-Roch,Bull. Soc. Math. France, 86 (1958), 97–136. N. Bourbaki,Éléments de mathématique: Algèbre commutative, Act. Sci. et Ind., 1290, 1293, Hermann, Paris (1961). H. Cartan andC. Chevalley,Géométrie algébrique, mimeo. notes, Secr. Math., Paris (1955–56). C. Chevalley,Classification des groupes de Lie algébriques, mimeo. notes, Secr. Math., Paris (1956–58). R. Godement, Groupes linéaires algébriques sur un corps parfait,Sém. Bourbaki, 13 (1960–61), exposé 206. SGA:A. Grothendieck, Séminaire de géométrie algébrique, mimeo. notes,I.H.E.S., Paris (1960). EGA:A. Grothendieck andJ. Dieudonné,Éléments de géométrie algébrique, Publ. Math. de l’I.H.E.S., 4, 8, 11, Paris (1960, 1961). A. Grothendieck,Local properties of morphisms, course given at Harvard University, fall term 1961–62. A. Grothendieck,Construction techniques in algebraic geometry, seminar given at Harvard University, fall term 1961–62 (notes byLichtenbaum, to appear). FGA:A. Grothendieck,Fondements de la géométrie algébrique, extraits du Sém. Bourbaki, 1957–62, mimeo. notes, Secr. Math., Paris (1962). S. Lang,Introduction to algebraic geometry, Interscience tracts in pure and applied math, 5, Interscience, N.Y. (1958). M. Nagata,Local Rings, Interscience tracts in pure and applied math, 13, Wiley, N.Y. (1962). FAC:J.-P. Serre, Faisceaux algébriques cohérents,Ann. of Math., 61 (1955), 197–278. B. L. Van der Waerden,Modern algebra, Ungar, N.Y. (1953). ZS:O. Zariski andP. Samuel,Commutative algebra, in two volumes, Van Nostrand, Princeton (1958, 1960). W.-L. Chow andB. L. Van der Waerden, Über zugeordnete Formen und algebraische Systeme von algebraischen Mannigfaltigkeiten,Math. Annalen, 113 (1937), 692–704. D. Mumford, Further pathologies in algebraic geometry,Amer. J. Math., 84 (1962), 642–648. M. Noether, Zur Grundlegung der Theorie der algebraischen Raumcurven,Steinersche Preisschrift, Verlag d. könig. Akad. d. Wiss., Berlin (1883). F. S. Macaulay, Some properties of enumeration in the theory of modular systems,Proc. Lond. Math. Soc. (2),26 (1926), 531–555.