Irreducibility of some families of linear series with Brill-Noether number. I

David Eisenbud; Joe Harris

Annales scientifiques de l'École Normale Supérieure (1989)

  • Volume: 22, Issue: 1, page 33-53
  • ISSN: 0012-9593

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Eisenbud, David, and Harris, Joe. "Irreducibility of some families of linear series with Brill-Noether number. I." Annales scientifiques de l'École Normale Supérieure 22.1 (1989): 33-53. <http://eudml.org/doc/82246>.

@article{Eisenbud1989,
author = {Eisenbud, David, Harris, Joe},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {negative Brill-Noether number; Hilbert scheme; family of linear series},
language = {eng},
number = {1},
pages = {33-53},
publisher = {Elsevier},
title = {Irreducibility of some families of linear series with Brill-Noether number. I},
url = {http://eudml.org/doc/82246},
volume = {22},
year = {1989},
}

TY - JOUR
AU - Eisenbud, David
AU - Harris, Joe
TI - Irreducibility of some families of linear series with Brill-Noether number. I
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1989
PB - Elsevier
VL - 22
IS - 1
SP - 33
EP - 53
LA - eng
KW - negative Brill-Noether number; Hilbert scheme; family of linear series
UR - http://eudml.org/doc/82246
ER -

References

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  1. [ACGH] E. ARBARELLO, M. CORNALBA, P. GRIFFITHS and J. HARRIS, Geometry of Algebraic Curves, Vol. 1, Springer-Verlag, New York, 1985, Vol. 2 (to appear). Zbl0559.14017MR86h:14019
  2. [Cuk] F. CUKIERMAN, Ph. D. Thesis, Brown University, 1987. 
  3. [E1] L. EIN, Hilbert Scheme of Smooth Space Curves (Ann. Sci. Éc. Norm. Sup., Vol. 19, 1986, pp. 469-478). Zbl0606.14003MR88c:14009
  4. [E2] L. EIN, Irreducibility of the Hilbert Scheme of Smooth Space Curves (in Algebraic Geometry, Bowdoin, 1985, S. BLOCK Ed., Proc. Symp. Pure Math., Vol. 46, 1987, pp. 83-87). Zbl0647.14012MR89f:14006
  5. [E-H1] D. EISENBUD and J. HARRIS, Irreducibility and Monodromy of Some Families of Linear Series (Ann. scient. Éc. Norm. Sup., Vol. 20, 1987, pp. 65-87). Zbl0625.14013MR88e:14034
  6. [E-H2] D. EISENBUD and J. HARRIS, The Kodaira Dimension of the Moduli Space of Curves of Genus ≧ 23 (Invent. Math., Vol. 90, 1987, pp. 359-387). Zbl0631.14023MR88g:14027
  7. [E-H3] D. EISENBUD and J. HARRIS, Limit Linear Series : Basic Theory (Invent. Math., Vol. 85, 1986, pp. 337-371). Zbl0598.14003MR87k:14024
  8. [E-H4] D. EISENBUD and J. HARRIS, Divisors on General Curves and Cuspidal Rational Curves (Invent. Math., Vol. 74, 1983, pp. 371-418). Zbl0527.14022MR85h:14019
  9. [E-H5] D. EISENBUD and J. HARRIS, A Simpler Proof of the Gieseker-Petri Theorem on Special Divisors (Invent. Math., Vol. 74, 1983, pp. 269-280). Zbl0533.14012MR85e:14039
  10. [E-H6] D. EISENBUD and J. HARRIS, Existence, Decomposition and Limits of Weierstrass Points (Invent. Math., Vol. 87, 1987, pp. 495-515). Zbl0606.14014MR88a:14028b
  11. [F-L] W. FULTON and R. LAZARSFELD, On the Connectedness of Degeneracy Loci and Special Divisors (Acta Math., Vol. 146, 1981, pp. 271-283). Zbl0469.14018MR82k:14016
  12. [H1] J. HARRIS, Curves and their Moduli (Proceedings of the A.M.S. Summer Institute in Algebraic Geometry, Bowdoin 1985). 
  13. [H2] J. HARRIS and D. EISENBUD, Curves in Projective Space, Les Presses de l'Université de Montréal, 1982. Zbl0511.14014MR84g:14024
  14. [H-M] J. HARRIS and D. MUMFORD, On the Kodaira Dimension of the Moduli Space of Curves (Invent. Math., Vol. 67, 1982, pp. 23-86). Zbl0506.14016MR83i:14018

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