A few remarks about the variety of irreducible plane curves of given degree and genus

Enrico Arbarello; Maurizio Cornalba

Annales scientifiques de l'École Normale Supérieure (1983)

  • Volume: 16, Issue: 3, page 467-488
  • ISSN: 0012-9593

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Arbarello, Enrico, and Cornalba, Maurizio. "A few remarks about the variety of irreducible plane curves of given degree and genus." Annales scientifiques de l'École Normale Supérieure 16.3 (1983): 467-488. <http://eudml.org/doc/82125>.

@article{Arbarello1983,
author = {Arbarello, Enrico, Cornalba, Maurizio},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {linear system; irreducible plane curves; deformation},
language = {eng},
number = {3},
pages = {467-488},
publisher = {Elsevier},
title = {A few remarks about the variety of irreducible plane curves of given degree and genus},
url = {http://eudml.org/doc/82125},
volume = {16},
year = {1983},
}

TY - JOUR
AU - Arbarello, Enrico
AU - Cornalba, Maurizio
TI - A few remarks about the variety of irreducible plane curves of given degree and genus
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1983
PB - Elsevier
VL - 16
IS - 3
SP - 467
EP - 488
LA - eng
KW - linear system; irreducible plane curves; deformation
UR - http://eudml.org/doc/82125
ER -

References

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  1. [1] D. ALIBERT and G. MALTSINIOTIS, Groupe Fondamental du complémentaire d'une courbe à points doubles ordinaires (Bull. Soc. Math. Fr., Vol. 102, 1974, pp. 335-351). Zbl0307.14010MR52 #3170
  2. [2] E. ARBARELLO and M. CORNALBA, Su una proprietà notevole dei morfismi di una curva a moduli generali in uno spazio proiettivo (Rend. Sem. Mat. Univers. Politecn. Torino, Vol. 38, No. 2, 1980, pp. 87-99). Zbl0478.14016MR83a:14024
  3. [3] E. ARBARELLO and M. CORNALBA, Su una congettura di Petri (Comment. Math. Helvetici, Vol. 56, 1981, pp. 1-38). Zbl0505.14002MR82k:14029
  4. [4] E. ARBARELLO and M. CORNALBA, Footnotes to a paper of Beniamino Segre (Math. Ann., Vol. 256, 1981, pp. 341-362). Zbl0454.14023MR83d:14016
  5. [5] W. FULTON and R. LAZARSFELD, On the Connectedness of Degeneracy Loci and Special Divisors (Acta Mathematica, Vol. 146, 1981, pp. 271-283). Zbl0469.14018MR82k:14016
  6. [6] D. GIESEKER, Stable Curves and Special Divisors I (preprint). Zbl0522.14015
  7. [7] P. GRIFFITHS and J. HARRIS, On the Variety of Special Linear Systems on a General Algebraic Curve (Duke Math. J., Vol. 47, 1980, pp. 237-272). Zbl0446.14011MR81e:14033
  8. [8] J. HARRIS, Notes from a Course Given at the "Séminaire de mathématiques supérieures", Montréal, 1980 (to appear). 
  9. [9] G. KEMPF, Schubert Methods with an Application to Algebraic Curves, Publications of Mathematisch Centrum, Amsterdam, 1971. Zbl0223.14018
  10. [10] H. POPP, Zur Reductionstheorie algebraischer Funktionenkörper vom Transzendenzgrad 1 (Archiv. der Math. Basel z., Vol. 17, 1966, pp. 510-522). Zbl0192.26901MR34 #5821
  11. [11] B. SAINT DONAT, On Petri's Analysis of the Linear System of Quadrics through a Canonical Curve (Math. Ann., Vol. 206, 1973, pp. 157-175). Zbl0315.14010MR49 #2752
  12. [12] F. SEVERI, Vorlesungen über algebraische Geometrie, Leipzig, 1921. JFM48.0687.01
  13. [13] F. ENRIQUES and O. CHISINI, Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche, Vol. 3, Bologna, 1924. Zbl0009.15904JFM51.0508.03

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