Halphen gaps and good space curves

Jan O. Kleppe

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 2, page 429-449
  • ISSN: 0392-4041

How to cite

top

Kleppe, Jan O.. "Halphen gaps and good space curves." Bollettino dell'Unione Matematica Italiana 1-B.2 (1998): 429-449. <http://eudml.org/doc/195354>.

@article{Kleppe1998,
author = {Kleppe, Jan O.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {good space curves; Halphen problem; Halphen gap},
language = {eng},
month = {6},
number = {2},
pages = {429-449},
publisher = {Unione Matematica Italiana},
title = {Halphen gaps and good space curves},
url = {http://eudml.org/doc/195354},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Kleppe, Jan O.
TI - Halphen gaps and good space curves
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/6//
PB - Unione Matematica Italiana
VL - 1-B
IS - 2
SP - 429
EP - 449
LA - eng
KW - good space curves; Halphen problem; Halphen gap
UR - http://eudml.org/doc/195354
ER -

References

top
  1. BALLET, B., Genre de courbes lisses tracées sur certaines surfaces rationnelles de P 3 , Bull. Soc. Math. France, 121 (1993), 383-402. Zbl0840.14014MR1242637
  2. BALLICO, E.- BOLONDI, G.- ELLIA, H.- MIRÈ-ROIG, R. M., Curves of maximum genus in the range A and stick-figures, Preprint 1996. Zbl0885.14016
  3. BALLICO, E.- ELLIA, PH., The maximal rank conjecture for non-special curves in P 3 , Invent. Math., 79 (1985), 541-555. Zbl0556.14007MR782234
  4. BALLICO, E.- ELLIA, PH., Beyond the maximal rank conjecture for curves in P 3 , Proc. Rocca di Papa 1985, Lecture Notes in Math., 1266 (1987), 1-23. Zbl0618.14012MR908706
  5. BALLICO E., E.- ELLIA, PH., A program for space curves, Rend. Sem. Mat. Univ. Politec. Torino (1986 special issue). Zbl0616.14044MR908909
  6. CILIBERTO, C.- LOPEZ, A.L., On the existence of components of the Noether-Lefschetz locus with given codimension, Manuscripta Math., 73 (1991), 341-357. Zbl0769.14018MR1134567
  7. ELLIA, PH., Sur les genre maximal des courbes gauches de degré d non sur une surface de degré s - 1 , J. Reine Angew. Math., 413 (1991), 78-87. Zbl0711.14015MR1089797
  8. ELLIA, PH., Sur les lacunes d'Halphen, Proc. Trento 1988, Lecture Notes in Math., 1389 (1989), 43-65. Zbl0696.14013MR1023389
  9. ELLIA, PH.- HIRSCHOWITZ, A.- MEZZETTI, E., On the number of irreducible components of the Hilbert scheme of smooth connected space curves, Internat. J. Math., 3 (1992), 799-807. Zbl0824.14024MR1194072
  10. ELLINGSRUD, G.- PESKINE, R., Anneau de Gorenstein associe a un fibre inversible sur une surface de l'espace et lieu de Noether-Lefschetz, in Proc. Indo-French Conf. on Geom. (Bombay 1989), Hindustan Book Agency, Delhi (1993), 29-42. Zbl0846.14029
  11. FLøYSTAD, G., Construction of space curves with good properties, Math. Ann., 289 (1991), 33-54. Zbl0693.14018MR1087234
  12. FLøYSTAD, G., On space curves with good cohomological properties, Math. Ann., 291 (1991), 505-549. Zbl0724.14019MR1133348
  13. GRUSON, L.- PESKINE, CHR., Genre des courbes de l'espace projectif, Proc. Tromsø 1977, Lecture Notes in Math., 687 (1978), 39-59. Zbl0412.14011MR527229
  14. GRUSON, L.- PESKINE, CHR., Theoreme de specialite, in Les equations de Yang-Mills, Asterisque, 71-72 (1980), 219-229. MR589891
  15. GRUSON, L.- PESKINE, CHR., Genre des courbes de l'espace projectif II, Ann. Sci. École Norm. Sup. (4), 15 (1982), 401-418. Zbl0517.14007MR690647
  16. HALPHEN, G., Mémoire sur la classification des courbes algébriques, J. École Polyt., 52 (1882), 1-200. 
  17. HARTSHORNE, R., On the classification of algebraic space curves II, in Algebraic Geometry, Bowdoin, 1985, Proc. Sympos. Pure Math., 46, part I, 145-164, Amer. Math. Soc., Providence, RI (1987). Zbl0659.14020MR927954
  18. HARTSHORNE, R., Generalized divisors on Gorenstein schemes, Preprint. Zbl0826.14005MR1291023
  19. HARTSHORNE, R.- HIRSCHOWITZ, A., Nouvelle courbes de bon genre dans l'espace projectif., Math. Ann., 280 (1988), 353-367. Zbl0678.14007MR936316
  20. KLEPPE, J. O., The Hilbert-flag scheme, its properties and its connection with the Hilbert scheme. Applications to curves in 3-space, Preprint (part of thesis), March 1981, Univ. of Oslo. 
  21. KLEPPE, J. O., Non-reduced components of the Hilbert scheme of smooth space curves, Proc. Rocca di Papa 1985, Lecture Notes in Math., 1266 (1987), 181-207. Zbl0631.14022MR908714
  22. KLEPPE, J. O., Liaison of families of subschemes in P n , Proc. Trento 1988, Lecture Notes in Math., 1389 (1989), 128-173. Zbl0697.14003MR1023396
  23. KLEPPE, J. O., On the existence of Nice components in the Hilbert scheme H d , g of smooth connected space curves, Boll. Un. Mat. Ital. B (7), 8 (1994), 305-326. Zbl0829.14012MR1278338
  24. KLEPPE, J. O., Concerning the existence of Nice components in the Hilbert scheme of curves in P n for n = 4 and 5 , J. Reine Angew. Math., 475 (1996), 77-102. Zbl0845.14002MR1396727
  25. MARTIN-DESCHAMPS, M.- PERRIN, D., Sur la classification des courbes gauches, Asterisque, 184-185 (1990). Zbl0717.14017MR1073438
  26. PARESCHI, G., Components of the Hilbert scheme of smooth space curves with the expected number of moduli, Manuscripta Math., 63 (1989), 1-16. Zbl0682.14018MR975464
  27. PESKINE, CHR.- SZPIRO, L., Liaison des variétés algébriques, Invent. Math., 26 (1974), 271-302. Zbl0298.14022MR364271
  28. SERNESI, E., Curves with good properties, Invent. Math., 75 (1984), 25-57. Zbl0541.14024
  29. STRANO, E., Plane sections of curves of P 3 and a Conjecture of Hartshorne and Hirschowitz, Rend. Sem. Univ. Politec. Torino, 48, 4 (1990), 511-527. Zbl0782.14029MR1217775
  30. WALTER, C., Curves on Surfaces with a Multiple Line, J. Reine Angew. Math., 412 (1990), 48-62. Zbl0712.14016MR1079000
  31. WALTER, C., The cohomology of the normal bundle of space curves, I, Preprint (1990). 
  32. WALTER, C., Lecture, AMS Fargo meeting, 1991. 
  33. WALTER, C., Horrocks theory and algebraic space curves, Preprint. 

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.