The stability of certain classes of uni-ruled varieties

Marc Levine

Compositio Mathematica (1984)

  • Volume: 52, Issue: 1, page 3-29
  • ISSN: 0010-437X

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Levine, Marc. "The stability of certain classes of uni-ruled varieties." Compositio Mathematica 52.1 (1984): 3-29. <http://eudml.org/doc/89651>.

@article{Levine1984,
author = {Levine, Marc},
journal = {Compositio Mathematica},
keywords = {deformations of a ruled surface; deformations of a uniruled variety; quasi-ruling},
language = {eng},
number = {1},
pages = {3-29},
publisher = {Martinus Nijhoff Publishers},
title = {The stability of certain classes of uni-ruled varieties},
url = {http://eudml.org/doc/89651},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Levine, Marc
TI - The stability of certain classes of uni-ruled varieties
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 1
SP - 3
EP - 29
LA - eng
KW - deformations of a ruled surface; deformations of a uniruled variety; quasi-ruling
UR - http://eudml.org/doc/89651
ER -

References

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  1. [1] M. Artin: Algebraization of formal moduli I. Global Analysis (paper in honor of K. Kodaira) pp. 21-71, Univ. Tokyo Press (1969). Zbl0205.50402MR260746
  2. [2] S. Abhyankar: Resolution of Singularities of Embdedded Algebraic Surfaces. Academic Press (1966). Zbl0147.20504MR217069
  3. [3] W.L. Chow: On equivalence classes of cycles in an algebraic variety. Ann. Math64 (1956) 450-479. Zbl0073.37304MR82173
  4. [4] A. Fujiki: Deformations of uni-ruled manifolds. Publ. RIMS17 (1981) 687-702. Zbl0509.32011
  5. [5] A. Grothendieck: EGA III, I.H.E.S. publ. No. 17. 
  6. [6] A. Grothendieck: SGA I, LNM 224, Springer-Verlag (1971). Zbl0234.14002
  7. [7] H. Hironaka: Resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. Math.79 (1964) 109-326. Zbl0122.38603MR199184
  8. [8] K. Kodaira and D.C. Spencer: On deformations of complex analytic structures I. Ann. Math.67 (1958) 328-466. Zbl0128.16901MR112154
  9. [9] M. Levine: Some examples from the deformation theory of ruled varieties. Am. J. Math.103 (1981) 997-1020. Zbl0494.14002MR630776
  10. [10] M. Levine: Deformations of uni-ruled varieties. Duke Math. J.48 (1981) 467-473. Zbl0485.14011MR620260
  11. [11] T. Matsusaka: Algebraic deformations of polarized varieties. Nagoya Math. J.31 (1968) 185-245. Zbl0167.49501MR258827
  12. [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.). Zbl0285.14005
  13. [13] P. Samuel: Rational equivalene of arbitrary cycles. Amer. J. Math.78 (1956) 383-400. Zbl0075.16002MR95845

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