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

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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>.

@article{Ballico2001,
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},
}

TY - JOUR
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 -

References

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  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

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