Brill-Noether theory for non-special linear systems

Marc Coppens

Compositio Mathematica (1995)

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

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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

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  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

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