On the smallest degree of a surface containing a space curve

Margherita Roggero; Paolo Valabrega

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 1, page 123-138
  • ISSN: 0392-4041

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Roggero, Margherita, and Valabrega, Paolo. "On the smallest degree of a surface containing a space curve." Bollettino dell'Unione Matematica Italiana 1-B.1 (1998): 123-138. <http://eudml.org/doc/195532>.

@article{Roggero1998,
author = {Roggero, Margherita, Valabrega, Paolo},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {generically locally complete intersection curve},
language = {eng},
month = {2},
number = {1},
pages = {123-138},
publisher = {Unione Matematica Italiana},
title = {On the smallest degree of a surface containing a space curve},
url = {http://eudml.org/doc/195532},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Roggero, Margherita
AU - Valabrega, Paolo
TI - On the smallest degree of a surface containing a space curve
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/2//
PB - Unione Matematica Italiana
VL - 1-B
IS - 1
SP - 123
EP - 138
LA - eng
KW - generically locally complete intersection curve
UR - http://eudml.org/doc/195532
ER -

References

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  1. CHIANTINI, L.- VALABREGA, P., Subcanonical curves and complete intersections in projective 3-space, Ann. Mat. Pura Appl., 136 (1984), 309-330. Zbl0569.14014MR779549
  2. GERAMITA, A. V.- ROGGERO, M.- VALABREGA, P., Subcanonical curves with the same postulation as q skew complete intersection in projective 3-space, Istituto Lombardo (Rend. Sc.) A, 123 (1989), 111-121. Zbl0729.14036MR1111356
  3. HARTSHORNE, R., Stable reflexive sheaves, Math. Ann., 254 (1980), 121-176. Zbl0431.14004MR597077
  4. HARTSHORNE, R., Stable reflexive sheaves II, Invent. Math., 66 (1982), 165-190. Zbl0519.14008MR652652
  5. HIRSCHOWITZ, A., Existence de faisceaux reflexifs de rang deux sur P 3 a bonne cohomologie, Publ. Math I.H.E.S., 66 (1987), 105-137. Zbl0647.14004MR932136
  6. HIRSCHOWITZ, A., Sur la postulation generique des courbes rationelles, Acta. Math., 146 (1981), 209-230. Zbl0475.14027MR611384
  7. HARTSHORNE, R.- HIRSCHOWITZ, A., Droites en position general dans l'espace projectif, Algebraic Geometry, Proceedings, La Rabida, 1981, Lect. Notes in Math., 961 (1982), 209-230. Zbl0555.14011MR708333
  8. ROGGERO, M.- VALABREGA, P., Some vanishing properties of the intermediate cohomology of a reflexive sheaf on P n , J. Algebra, 170 (1994), 307-321. Zbl0831.14008MR1302843
  9. ROGGERO, M.- VALABREGA, P., On the second section of a rank 2 reflexive sheaf on P 3 , J. Algebra, 180 (1996), 67-86. Zbl0867.14008MR1375566
  10. ROGGERO, M.- VALABREGA, P., Sulle sezioni di un fascio riflessivo di rango 2 su P 3 : casi estremi per la prima sezione, Rendiconti Accademia Peloritana, LXXIII (1995) 67-86. 

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