On the existence of special divisors on singular curves

E. Ballico; C. Fontanari

Rendiconti del Seminario Matematico della Università di Padova (2001)

  • Volume: 106, page 143-151
  • ISSN: 0041-8994

How to cite


Ballico, E., and Fontanari, C.. "On the existence of special divisors on singular curves." Rendiconti del Seminario Matematico della Università di Padova 106 (2001): 143-151. <http://eudml.org/doc/108559>.

author = {Ballico, E., Fontanari, C.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {143-151},
publisher = {Seminario Matematico of the University of Padua},
title = {On the existence of special divisors on singular curves},
url = {http://eudml.org/doc/108559},
volume = {106},
year = {2001},

AU - Ballico, E.
AU - Fontanari, C.
TI - On the existence of special divisors on singular curves
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2001
PB - Seminario Matematico of the University of Padua
VL - 106
SP - 143
EP - 151
LA - eng
UR - http://eudml.org/doc/108559
ER -


  1. [AKI] A. Altman - S.L. Kleiman - A. Iarrobino, Irreducibility of the compactified Jacobian, in Singularities of Real and Complex Maps, Proceedings of the Nordic Summer School, Oslo, 1976, pp. 1-12, P. Holm Editor, Sijthoff and Noordhoff, 1977. Zbl0415.14014MR498546
  2. [ACGH] E. Arbarello - M. Cornalba - P. Griffiths - J. Harris, Geometry of Algebraic Curves, Vol. I, Springer-Verlag, 1985. Zbl0559.14017MR770932
  3. [B] E. Ballico, Stable sheaves on reduced projective curves, Ann. Mat. Pura Appl., 175 (1998), pp. 375-393. Zbl0972.14011MR1748234
  4. [Bh1] U.N. Bhosle, Generalized parabolic bundles and applications to torsion free sheaves on nodal curves, Arkiv för Matematik, 30 (1992), pp. 187-215. Zbl0773.14006MR1289750
  5. [Bh2] U.N. Bhosle, Generalized parabolic sheaves on integral projective curves, Proc. Ind. Acad. Sci. (Math. Sci.), 106 (1996), pp. 403-420. Zbl0879.14012MR1425615
  6. [Ca] F. Catanese, Pluricanonical Gorenstein curves, in: Enumerative Geometry and Classical Algebraic Geometry, pp. 51-95, Progress in Math., 24, Birckhäuser, 1982. Zbl0518.14017MR685764
  7. [Co] P CooK, Local and global aspects of the module theory of singular curves, Ph. D. Thesis, Liverpool, 1993. 
  8. [EHKS] D. Eisenbud - J. Harris - J. Koh - M. Stillman, Appendix to: Determinantal equations for curves of high degree, by D. Eisenbud, J. Koh, M. Stillman. Amer. J. Math., 110 (1988), pp. 513-539. Zbl0681.14027MR944326
  9. [GK] G.-M. Greuel - H. Knörrer, Einfache Kurvensingularitäten und torsionfreie Moduln, Math. Ann., 270 (1985), pp. 417-425. Zbl0553.14011MR774367
  10. [GP] G.-M. Greuel - G. Pfister, Module spaces for torsion free modules on curves singularities, I. J. Alg. Geom., 2 (1993), pp. 81-135. Zbl0785.14016MR1185608
  11. [GH] P.A. Griffiths - J. Harris, Principles of Algebraic Geometry, John Wiley & Sons, 1978. Zbl0836.14001MR507725
  12. [Ha] R. Hartshorne, Generalized divisors on Gorenstein curves and a theorem of Noether, J. Math Kyoto Univ., 26 (1986), pp. 375-386. Zbl0613.14008MR857224
  13. [L] D. Laksov, Wronskians and Plücker formulas for linear systems on curves, Ann. scient. Ec. Norm. Sup., 4e série, 17 (1984), pp. 45-66. Zbl0555.14008MR744067
  14. [Re] C.J. Rego, The compactified Jacobian, Ann. Sci. Ec. Norm Sup.4e serie, 13 (1980), pp. 211-223. Zbl0478.14024MR584085
  15. [R] M. Rosenlicht, Equivalence relations on algebraic curves, Ann. Math., 56 (1952), p. 169-191. Zbl0047.14503MR48856
  16. [S] K.-O. Stöhr, On the poles ofregular differentials of singular curves, Bol. Soc. Bras., 24 (1993), pp. 136. Zbl0788.14020MR1224302

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.