Points rationnels des courbes génériques de ℙ 3 . I

N. Mestrano

Bulletin de la Société Mathématique de France (1985)

  • Volume: 113, page 295-304
  • ISSN: 0037-9484

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Mestrano, N.. "Points rationnels des courbes génériques de ${\mathbb {P}}^3$. I." Bulletin de la Société Mathématique de France 113 (1985): 295-304. <http://eudml.org/doc/87489>.

@article{Mestrano1985,
author = {Mestrano, N.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {generic curve without rational points; Hilbert scheme; smoothing},
language = {fre},
pages = {295-304},
publisher = {Société mathématique de France},
title = {Points rationnels des courbes génériques de $\{\mathbb \{P\}\}^3$. I},
url = {http://eudml.org/doc/87489},
volume = {113},
year = {1985},
}

TY - JOUR
AU - Mestrano, N.
TI - Points rationnels des courbes génériques de ${\mathbb {P}}^3$. I
JO - Bulletin de la Société Mathématique de France
PY - 1985
PB - Société mathématique de France
VL - 113
SP - 295
EP - 304
LA - fre
KW - generic curve without rational points; Hilbert scheme; smoothing
UR - http://eudml.org/doc/87489
ER -

References

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  1. [1] ELLIA (PH.). — Exemples de courbes de ℙ3 à fibré normal semi-stable, stable, Math. Ann., vol. 264, 1983, p. 389-396. Zbl0519.14025
  2. [2] ELLINGSRUD (G.), HIRSCHOWITZ (A.). — Sur le fibré normal de courbes gauches, C.R. Acad. Sc., série I, t. 299, 1984, p. 245-249. Zbl0572.14007MR86a:14031
  3. [3] GRUSON (L.), PESKINE (C.). — Genre des courbes de l'espace projectif I, L.N. Maths. ; n° 687, 1977, p. 30-59. Zbl0412.14011MR81e:14019
  4. [4] HARRIS (J.). — Curves in Projective Space, Sem. Math. Sup., Presses Univ. Montréal, 1982, 138 p. Zbl0511.14014MR84g:14024
  5. [5] HARTSHORNE (R.), HIRSCHOWITZ (A.). — Smoothing algebraic Space Curves, In Week of alg. geom., Proceedings, Barcelona, 1983. Zbl0574.14028
  6. [6] LICHTENBAUM (S.), SCHLESSINGER (M.). — The cotangent complex of a morphism, Trans. Amer. Math. Soc., vol. 128, 1967, p. 41-70. Zbl0156.27201MR35 #237
  7. [7] MESTRANO (N.). — Degré des diviseurs sur les familles de courbes de ℙ3. Math. Ann., vol. 270, 1985, p. 461-465. Zbl0612.14026MR86h:14020
  8. [8] MESTRANO (N.). — Sections rationnelles de morphismes algébriques, Préprint de l'Université de Nice, n° 25, 1983. 
  9. [9] ROTH (L.). — Algebraic threefolds, Springer, 1959. 

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