The stability of certain classes of uni-ruled varieties
Compositio Mathematica, Volume 52 (1984) no. 1, p. 3-29
@article{CM_1984__52_1_3_0,
author = {Levine, Marc},
title = {The stability of certain classes of uni-ruled varieties},
journal = {Compositio Mathematica},
publisher = {Martinus Nijhoff Publishers},
volume = {52},
number = {1},
year = {1984},
pages = {3-29},
zbl = {0565.14020},
mrnumber = {742695},
language = {en},
url = {http://www.numdam.org/item/CM_1984__52_1_3_0}
}

Levine, Marc. The stability of certain classes of uni-ruled varieties. Compositio Mathematica, Volume 52 (1984) no. 1, pp. 3-29. http://www.numdam.org/item/CM_1984__52_1_3_0/

[1] M. Artin: Algebraization of formal moduli I. Global Analysis (paper in honor of K. Kodaira) pp. 21-71, Univ. Tokyo Press (1969). | MR 260746 | Zbl 0205.50402

[2] S. Abhyankar: Resolution of Singularities of Embdedded Algebraic Surfaces. Academic Press (1966). | MR 217069 | Zbl 0147.20504

[3] W.L. Chow: On equivalence classes of cycles in an algebraic variety. Ann. Math 64 (1956) 450-479. | MR 82173 | Zbl 0073.37304

[4] A. Fujiki: Deformations of uni-ruled manifolds. Publ. RIMS 17 (1981) 687-702. | Zbl 0509.32011

[5] A. Grothendieck: EGA III, I.H.E.S. publ. No. 17.

[6] A. Grothendieck: SGA I, LNM 224, Springer-Verlag (1971). | Zbl 0234.14002

[7] H. Hironaka: Resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. Math. 79 (1964) 109-326. | MR 199184 | Zbl 0122.38603

[8] K. Kodaira and D.C. Spencer: On deformations of complex analytic structures I. Ann. Math. 67 (1958) 328-466. | MR 112154 | Zbl 0128.16901

[9] M. Levine: Some examples from the deformation theory of ruled varieties. Am. J. Math. 103 (1981) 997-1020. | MR 630776 | Zbl 0494.14002

[10] M. Levine: Deformations of uni-ruled varieties. Duke Math. J. 48 (1981) 467-473. | MR 620260 | Zbl 0485.14011

[11] T. Matsusaka: Algebraic deformations of polarized varieties. Nagoya Math. J. 31 (1968) 185-245. | MR 258827 | Zbl 0167.49501

[12] J. Roberts: Chow's moving lemma. App. 2 to Motives, S.L. Kleiman, Proc. 5th Nordic Summer School in Math. (1970) F. Oort (ed.). | Zbl 0285.14005

[13] P. Samuel: Rational equivalene of arbitrary cycles. Amer. J. Math. 78 (1956) 383-400. | MR 95845 | Zbl 0075.16002