Strata of smooth space curves having unstable normal bundle

Luciana Ramella

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 3, page 499-516
  • ISSN: 0392-4033

How to cite

top

Ramella, Luciana. "Strata of smooth space curves having unstable normal bundle." Bollettino dell'Unione Matematica Italiana 2-B.3 (1999): 499-516. <http://eudml.org/doc/195908>.

@article{Ramella1999,
author = {Ramella, Luciana},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {smooth space curves; unstable normal bundle; Hilbert scheme; instability degree},
language = {eng},
month = {10},
number = {3},
pages = {499-516},
publisher = {Unione Matematica Italiana},
title = {Strata of smooth space curves having unstable normal bundle},
url = {http://eudml.org/doc/195908},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Ramella, Luciana
TI - Strata of smooth space curves having unstable normal bundle
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/10//
PB - Unione Matematica Italiana
VL - 2-B
IS - 3
SP - 499
EP - 516
LA - eng
KW - smooth space curves; unstable normal bundle; Hilbert scheme; instability degree
UR - http://eudml.org/doc/195908
ER -

References

top
  1. ARBARELLO, E.- CORNALBA, M.- GRIFFITHS, P. A.- HARRIS, J., Geometry of Algebraic Curves, Springer-Verlag, New York-Berlin-Heidelberg-Tokio (1985). Zbl0559.14017MR770932
  2. BALLICO, E.- ELLIA, PH., Some more examples of curves in P 3 with stable normal bundle, J. Reine Angew. Math., 350 (1984), 87-93. Zbl0527.14019MR743534
  3. BIANCOFIORE, A.- LIVORNI, E. L., On the genus of a hyperplane section of a geometrically ruled surface, Ann. Mat. Pura Appl., 147 (1987), 173-185. Zbl0638.14020MR916707
  4. BOURBAKI, N., Élements de mathématiques - Algèbre commutative, f. XXVIII, ch. 1 et 2, Herman, Paris (1961). Zbl0145.19302
  5. DELIGNE, P.- RAPOPORT, M., Les schémas de modules de courbes elliptiques, Lecture Notes in Math., n. 349, Springer-Verlag, Berlin, Heidelberg, New York (1973), 143-316. Zbl0281.14010MR337993
  6. EISENBUD, D.- VAN DE VEN, A., On the normal bundles of smooth rational space curves, Math. Ann., 256 (1981), 453-463. Zbl0443.14015MR628227
  7. EISENBUD, D.- VAN DE VEN, A., On the variety of smooth rational space curves with given degree and normal bundle, Invent. Math., 67 (1982), 89-100. Zbl0492.14016MR664325
  8. ELLIA, PH., Exemples de courbes de P 3 à fibré normal semi-stable, stable, Math. Ann., 264 (1983), 389-396. Zbl0519.14025MR714111
  9. ELLIA, PH., Double structures and normal bundle of spaces curves, preprint. Zbl0959.14018MR1666062
  10. ELLINGSRUD, G.- HIRSCHOWITZ, A., Sur le fibré normal des courbes gauches, C. R. Acad. Sc. Paris, 299 (1984), 245-248. Zbl0572.14007MR762731
  11. ELLINGSRUD, G.- LAKSOV, D., The normal bundle of elliptic space curves of degree 5, 18th Scandinavian Congress of Mathematicians, Proceedings 1980, PM11, Birkhäuser, Boston, Basel, Stuttgart (1981). Zbl0479.14012MR633362
  12. GHIONE, F.- SACCHIERO, G., Normal bundle of rational curves in P 3 , Manuscripta Math., 33 (1980), 111-128. Zbl0496.14021MR597814
  13. GROTHENDIECK, A., Techniques de descente et théorèmes d'existence en géométrie algébrique-II: Le théorème d'existence et théorie formelle des modules, Sém. Bourbaki, exp. 195, 12 (1959/60). Zbl0234.14007
  14. GROTHENDIECK, A., Techniques de construction et théorèmes d'existence en géométrie algébrique: Les schémas de Hilbert, Sém. Bourbaki, exp. 221, 13 (1960/61). Zbl0236.14003
  15. GROTHENDIECK, A.- DIEUDONNÉ, J., Éléments de géométrie algébrique. Étude locale des schémas et des morphismes des schémas, Publ. Math. IHES, 20 (1964). Zbl0136.15901MR173675
  16. GROTHENDIECK, A.- DIEUDONNÉ, J., Éléments de géométrie algébrique. Étude locale des schémas et des morphismes des schémas, Publ. Math. IHES, 32 (1967). Zbl0153.22301
  17. HARTSHORNE, R., Algebraic Geometry, Springer-Verlag, New York, Heidelberg, Berlin (1977). Zbl0367.14001MR463157
  18. HIRSCHOWITZ, A., Rank techniques and jump statifications, in Vector Bundles and Algebraic Varieties, Proc. Bombay 1984, Oxford Univ. Press (1987), 159-205. Zbl0682.14009MR893598
  19. HULEK, K., The normal bundle of a curve on a quadric, Math. Ann., 258 (1981), 201-206. Zbl0458.14011MR641825
  20. HULEK, K.- SACCHIERO, G., On the normal bundle of elliptic space curves, Arch. Math., 40 (1983), 61-68. Zbl0492.14013MR720894
  21. LANGE, H.- NARASIMHAN, M. S., Maximal subbundles of rank two vector bundles on curves, Math. Ann., 266 (1983), 55-72. Zbl0507.14005MR722927
  22. NAGATA, M., On self-intersection number of a section on a ruled surface, Nagoya Math. J., 37 (1970), 191-196. Zbl0193.21603MR258829
  23. NEWSTEAD, P. E., A space curve whose normal bundle is stable, J. London Math. Soc., 28 (1983), 428-434. Zbl0533.14015MR724711
  24. PERRIN, D., Courbes passant par m points généraux de P 3 , Mémoires de la Soc. Math. de France, no 28/29, Suppl. au Bull. de la S.M.F., 115 (1987). Zbl0648.14028
  25. PIENE, R., Numerical characters of a curve in projective n -space, in Real and Complex Singularities, Oslo 1976, Sijthoff en Noordhoff (1978), 475-495. Zbl0375.14017MR506323
  26. POPP, H., Moduli Theory and Classification Theory of Algebraic Varieties, Lecture Notes in Math., n. 620, Springer-Verlag, Berlin, Heidelberg, New York (1977). Zbl0359.14005MR466143
  27. SACCHIERO, G., On the varieties parametrising rational space curves with fixed normal bundle, Manuscripta Math., 37 (1982), 217-228. Zbl0514.14010MR651134
  28. SACCHIERO, G., Exemple de courbes de P 3 de fibré normal stable, Commun. Algebra, 11 (1983), 2115-2121. Zbl0543.14009MR710212
  29. VAN DE VEN, A., Le fibré normal d'une courbe dans P 3 ne se decompose pas toujours, C.R. Acad. Sc. Paris, 289 (1979), 111-113. Zbl0447.14006MR549081
  30. ZARISKI, O., Algebraic Surfaces, 2nd ed., Springer, Berlin, Heidelberg, New York (1971). Zbl0219.14020MR469915

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.