Le théorème de Brill-Noether

Georges Maltsiniotis

Séminaire Bourbaki (1980-1981)

  • Volume: 23, page 157-175
  • ISSN: 0303-1179

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Maltsiniotis, Georges. "Le théorème de Brill-Noether." Séminaire Bourbaki 23 (1980-1981): 157-175. <http://eudml.org/doc/109969>.

@article{Maltsiniotis1980-1981,
author = {Maltsiniotis, Georges},
journal = {Séminaire Bourbaki},
keywords = {curves with general moduli; symmetric products; Jacobians; Brill-Noether conjecture; Castelnuovo-Severi-Kleiman conjecture; degeneration of curves; special divisors on curves},
language = {fre},
pages = {157-175},
publisher = {Springer-Verlag},
title = {Le théorème de Brill-Noether},
url = {http://eudml.org/doc/109969},
volume = {23},
year = {1980-1981},
}

TY - JOUR
AU - Maltsiniotis, Georges
TI - Le théorème de Brill-Noether
JO - Séminaire Bourbaki
PY - 1980-1981
PB - Springer-Verlag
VL - 23
SP - 157
EP - 175
LA - fre
KW - curves with general moduli; symmetric products; Jacobians; Brill-Noether conjecture; Castelnuovo-Severi-Kleiman conjecture; degeneration of curves; special divisors on curves
UR - http://eudml.org/doc/109969
ER -

References

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  1. [1] E. Arbarello et M. Cornalba - Su una conjettura di Petri, à paraître dans Comm. Math. Helv. Zbl0505.14002MR615613
  2. [2] E. Arbarello et M. Cornalba - Su una proprietà notevole dei morfismi di una curva a moduli generali in uno spazio proiettivo, à paraître. Zbl0478.14016
  3. [3] E. Arbarello, M. Cornalba, P. Griffiths et J. Harris - Special divisors on algebraic curves, à paraître. 
  4. [4] E. Arbarello et E. Sernesi - Petri's approach to the study of the ideal associated to a special divisor, Invent. Math.49(1978), 99-119. Zbl0399.14019MR511185
  5. [5] A. Brill et M. Noether - Über die algebraischen Functionen und ihre Anwendungen in der Geometrie, Math. Ann.7(1874), 269-310. JFM06.0251.01
  6. [6] G. Castelnuovo - Numero delle involutione rationali giancenti sopra una curva di dato genere, Rend. della R. Acad. Lincei, ser. 4,5(1889). JFM21.0668.01
  7. [7] H.M. Farkas - Special divisors and analytic subloci of the Teichmüller space, Amer. J. Math.88(1966), 881-901. Zbl0154.33101MR213546
  8. [8] D. Gieseker - Stable curves and special divisors : Petri's conjecture, à paraître. Zbl0522.14015
  9. [9] P. Griffiths et J. Harris - On the variety of special linear systems on a general algebraic curve, Duke Math. J.47,1(1980), 233-272. Zbl0446.14011MR563378
  10. [10] R.C. Gunning - Jacobi varieties, Princeton Univ. Press, Princeton, N.J. (1972). Zbl0387.32008MR357407
  11. [11] G. Kempf - Schubert methods with an application to algebraic curves, Publ. Math. Centrum, Amsterdam (1971). Zbl0223.14018
  12. [12] G. Kempf - On the geometry of a theorem of Riemann, Ann. of Math.98(1973), 178-185. Zbl0275.14023MR349687
  13. [13] S. Kleiman - r-special subschemes and an argument of Severi's, Advances in Math.22(1976), 1-23. Zbl0342.14012MR435071
  14. [14] S. Kleiman et D. Laksov - On the existence of special divisors, Amer. J. Math.94(1972), 431-436. Zbl0251.14005MR323792
  15. [15] S. Kleiman et D. Laksov - Another proof of the existence of special divisors, Acta Math.132(1974), 163-176. Zbl0286.14005MR357398
  16. [16] D. Laksov - Appendice à l'article [13] de Kleiman, Advances in Math.22(1976), 23-31. Zbl0342.14012
  17. [17] R.F. Lax - On the dimension of varieties of special divisors, Trans. Amer. Math. Soc.203(1975), 141-159. Zbl0332.32016MR360602
  18. [18] R.F. Lax - On the dimension of varieties of special divisors II, I11. J. of Math.19(1975), 318-324. Zbl0332.32017MR376690
  19. [19] I.G. Macdonald - Symmetric products of an algebraic curve, Topology1(1962), 319-343. Zbl0121.38003MR151460
  20. [20] H.H. Martens - On the varieties of special divisors on a curve, Jour. Reine Angew. Math.227(1967), 111-120. Zbl0172.46301MR215847
  21. [21] H.H. Martens - Varieties of special divisors on a curve II , Jour. Reine Angew. Math.233(1968), 89-100. Zbl0221.14004MR241420
  22. [22] H.H. Martens - From the classical theory of jacobian varieties, Proceedings of the 15th Scandinavian Congress Oslo 1968, Lect. Notes in Math.118, Springer-Verlag, Berlin-Heidelberg-New York, (1970), 74-98. Zbl0194.52304MR257084
  23. [23] A. Mattuck - Symmetric products and jacobians, Amer. J. Math.83(1961), 189-206. Zbl0225.14020MR142553
  24. [24] A. Mattuck - On symmetric products of curves, Proc. Amer. Math. Soc.13(1962), 82-87. Zbl0142.18702MR136608
  25. [25] A. Mattuck - Secant bundles on symmetric products, Amer. J. Math.87(1965), 779-797. Zbl0196.53503MR199196
  26. [26] A.L. Mayer - Special divisors and the jacobian variety, Math. Annalen153(1964), 163-167. Zbl0141.37603MR164969
  27. [27] T. Meis - Die minimale Blätterzahl der Konkretisierung einer kompakten Riemannschen Fläche, Schriftenreihe des Mathematischen Instituts, Heft 16, Univ. Münster (1960). Zbl0093.07603MR147643
  28. [28] K. Petri - Über Spezialkurven I , Math. Ann.93(1924), 182-209. Zbl51.0510.01MR1512232JFM51.0510.01
  29. [29] R.L.E. Schwarzenberger - Jacobians and symmetric products, I11. J. of Math.7(1963), 257-268. Zbl0123.38104MR151459
  30. [30] F. Severi - Vorlesungen über algebraische Geometrie, Teubner, Leipzig (1921), Anhang G. JFM48.0687.01
  31. [31] L. Szpiro - Travaux de Kempf, Kleiman, Laksov sur les diviseurs exceptionnels, Sém. Bourbaki 24e année, Exposé 417(1971-72). Zbl0264.14005

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