Dimension of families of space curves

M. C. Chang; Z. Ran

Compositio Mathematica (1994)

  • Volume: 90, Issue: 1, page 53-57
  • ISSN: 0010-437X

How to cite


Chang, M. C., and Ran, Z.. "Dimension of families of space curves." Compositio Mathematica 90.1 (1994): 53-57. <http://eudml.org/doc/90267>.

author = {Chang, M. C., Ran, Z.},
journal = {Compositio Mathematica},
keywords = {family of embedded curves; family of immersed curves; Hilbert scheme; adjoint line bundle},
language = {eng},
number = {1},
pages = {53-57},
publisher = {Kluwer Academic Publishers},
title = {Dimension of families of space curves},
url = {http://eudml.org/doc/90267},
volume = {90},
year = {1994},

AU - Chang, M. C.
AU - Ran, Z.
TI - Dimension of families of space curves
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 90
IS - 1
SP - 53
EP - 57
LA - eng
KW - family of embedded curves; family of immersed curves; Hilbert scheme; adjoint line bundle
UR - http://eudml.org/doc/90267
ER -


  1. [CR] Chang, M.C. and Ran, Z., Closed families of smooth space curves, Duke Math. J.52 (1985) 707-713. Zbl0592.14023MR808099
  2. [D] Diaz, S., A bound on the dimension of complete subvarieties of Mg. Ibid51 (1984) 405-408. Zbl0581.14017MR747872
  3. [H] Harris, J., Families of smooth curves, Ibid.51 (1984) 409-419. Zbl0548.14009MR747873
  4. [M] Mumford, D., Towards an enumerative geometry of the moduli space of curves. In: Arithmetic and Geometry, Vol. II. Boston: Birkhauser1983. Zbl0554.14008MR717614
  5. [S] Schneider, M., Embedding obstructions and vanishing theorems. J. Algebraic Geometry1 (1992). 

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