Brill-Noether theory for non-special linear systems

Marc Coppens

Compositio Mathematica (1995)

  • Volume: 97, Issue: 1-2, page 17-27
  • ISSN: 0010-437X

How to cite

top

Coppens, Marc. "Brill-Noether theory for non-special linear systems." Compositio Mathematica 97.1-2 (1995): 17-27. <http://eudml.org/doc/90374>.

@article{Coppens1995,
author = {Coppens, Marc},
journal = {Compositio Mathematica},
keywords = {general curve; linear system; Brill-Noether locus},
language = {eng},
number = {1-2},
pages = {17-27},
publisher = {Kluwer Academic Publishers},
title = {Brill-Noether theory for non-special linear systems},
url = {http://eudml.org/doc/90374},
volume = {97},
year = {1995},
}

TY - JOUR
AU - Coppens, Marc
TI - Brill-Noether theory for non-special linear systems
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 97
IS - 1-2
SP - 17
EP - 27
LA - eng
KW - general curve; linear system; Brill-Noether locus
UR - http://eudml.org/doc/90374
ER -

References

top
  1. 1 Arbarello, E., Comalba, M., Griffiths, P.A. and Harris, J.: Geometry of Algebraic Curves Volume 1, Grundlehren267 (1985), Springer-Verlag. Zbl0559.14017
  2. 2 Ballico, E.: On secant spaces to projective curves, Compos. Math.85 (1989), 311-313. Zbl0790.14029MR1214450
  3. 3 Chiantine, L. and Ciliberto, C.: A few remarks on the lifting problem, Astérisque218 (1993), 95-109. Zbl0813.14043MR1265310
  4. 4 Ciliberto, C. and Semesi, E.: Singularities of the theta divisor and congruences of planes, J. of Alg. Geometry1 (1992), 231-250. Zbl0787.14019MR1144438
  5. 5 Ciliberto, C. and Semesi, E.: Singularities of the theta divisor and families of secant spaces to a canonical curve, Journal of Algebra171 (1995), 867-893. Zbl0827.14016MR1315925
  6. 6 Coppens, M.: An infinitesimal study of secant space divisors, to appear in J. Pure Applied Algebra. Zbl0890.14004MR1415555
  7. 7 Eisenbud, D.: Linear sections of determinantal varieties, Amer. J. Math.110 (1988), 541-575. Zbl0681.14028MR944327
  8. 8 Eisenbud, D. and Harris, J.: A simpler proof of the Gieseker-Petri theorem on special divisors, Inv. Math.74 (1983), 269-280. Zbl0533.14012MR723217
  9. 9 Gieseker, D.: Stable curves and special divisors, Inv. Math.66 (1982), 251-275. Zbl0522.14015MR656623
  10. 10 Hirschowitz, A.: Sections planes et multisecantes pour les courbes gauches generiques principales, in Space curves, L.N.M.1266 (1987), 124-155. Zbl0622.14019MR908712
  11. 11 Lazarsfeld, R.: Brill-Noether-Petri without degenerations, J. Diff. Geometry23 (1986), 299-307. Zbl0608.14026MR852158
  12. 12 Le Barz, P.: Courbes générales de P3, Math. Scand.44 (1979), 243-277. Zbl0477.14026MR555218

NotesEmbed ?

top

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.