Guerra, Lucio
A universal property of the Cayley-Chow space of algebraic cycles
Rendiconti del Seminario Matematico della Università di Padova, Tome 95 (1996) , p. 127-142
Zbl 0894.14006 | MR 1405359
URL stable : http://www.numdam.org/item?id=RSMUP_1996__95__127_0

Bibliographie

[1] A. Andreotti - F. NORGUET, La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique, Ann. Scuola Norm. Sup. Pisa, 21 (1967) pp. 31-82. Numdam | MR 239118 | Zbl 0176.04001

[2] D. Barlet, Espace analytique reduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie, in Fonctions de plusieurs variables complexes II (Sem. F. Norguet), Springer L.N.M., 482 (1970), pp. 1-158. MR 399503 | Zbl 0331.32008

[3] F. Catanese, Chow varieties, Hilbert schemes, and moduli spaces of surfaces of general type, J. Alg. Geom., 1 (1992), pp. 561-595. MR 1174902 | Zbl 0807.14006

[4] A. Cayley, On a new analytical representation of curves in space I, II, Quart. J. Math., 3 (1860), pp. 225-236; 5 (1862), pp. 81-86.

[5] W.L. Chow - B.L. Van Der Waerden, Zur algebraischen Geometrie, IX: Über zugeordnete Formen und algebraische Systeme von algebraischen Mannigfaltigkeiten, Math. Ann., 113 (1937), pp. 692-704. JFM 62.0772.02 | MR 1513117

[6] E.M. Friedlander, Algebraic cycles, Chow varieties, and Lawson homology, Comp. Math., 77 (1991), pp. 55-93. Numdam | MR 1091892 | Zbl 0754.14011

[7] E.M. Friedlander - H.B. Lawson, A theory of algebraic cocycles, Ann. Math., 136 (1992), pp. 361-428. MR 1185123 | Zbl 0788.14014

[8] W. Fulton, Intersection Theory, Springer (1984). MR 732620 | Zbl 0541.14005

[9] L. Guerra, Degrees of Cayley-Chow varieties, Math. Nachr., 171 (1995), pp. 165-176. MR 1316357 | Zbl 0838.14003

[10] W.V. Hodge - D. Pedoe, Methods of Algebraic Geometry, vol. II, Cambridge U.P. (1968).

[11] D. Mumford, Algebraic Geometry I, Complex Projective Varieties, Springer (1976). MR 453732 | Zbl 0821.14001

[12] D. Mumford - J. FOGARTY, Geometric Invariant Theory, Springer (1982). MR 719371 | Zbl 0504.14008

[13] M. Nagata, On the normality of the Chow variety of positive 0-cycles of degree m in an algebraic variety, Memoirs Coll. Sci. Kyoto (A), 29 (1955), pp. 165-176. MR 96668 | Zbl 0066.14701

[14] P. Samuel, Lectures on unique factorization domains, Tata Inst. Fund. Research, Bombay (1964). MR 214579 | Zbl 0184.06601

[15] H. Weyl, The Classical Groups, their Invariants and Representations, Princeton U.P. (1946). MR 1488158 | Zbl 1024.20502