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Points rationnels des courbes génériques de 3 . II

N. Mestrano

Bulletin de la Société Mathématique de France (1988)

  • Volume: 116, Issue: 1, page 43-67
  • ISSN: 0037-9484

How to cite

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Mestrano, N.. "Points rationnels des courbes génériques de ${\mathbb {P}}^3$. II." Bulletin de la Société Mathématique de France 116.1 (1988): 43-67. <http://eudml.org/doc/87548>.

@article{Mestrano1988,
author = {Mestrano, N.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {space curve; Hilbert scheme; cubic surface; generic curve; genus; degree; rational points},
language = {fre},
number = {1},
pages = {43-67},
publisher = {Société mathématique de France},
title = {Points rationnels des courbes génériques de $\{\mathbb \{P\}\}^3$. II},
url = {http://eudml.org/doc/87548},
volume = {116},
year = {1988},
}

TY - JOUR
AU - Mestrano, N.
TI - Points rationnels des courbes génériques de ${\mathbb {P}}^3$. II
JO - Bulletin de la Société Mathématique de France
PY - 1988
PB - Société mathématique de France
VL - 116
IS - 1
SP - 43
EP - 67
LA - fre
KW - space curve; Hilbert scheme; cubic surface; generic curve; genus; degree; rational points
UR - http://eudml.org/doc/87548
ER -

References

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  1. [E] ELLIA (Ph.). — D'autres composantes non réduites de Hilb P3, Preprint Université de Nice, n° 94, 1986. 
  2. [E′] ELLIA (Ph.). — Points rationnels de courbes génériques de P3, Preprint Université de Nice, n° 95, 1986. 
  3. [F] FULTON (W.). — Intersection Theory. — Berlin, Springer-Verlag, 1984. Zbl0541.14005MR85k:14004
  4. [G] GROTHENDIECK (A.). — Sur quelques propriétés fondamentales en théorie des intersections, Anneaux de Chow et applications, Séminaire Chevalley n° 2, 1958. MR21 #5637
  5. [G-P] GRUSON (L.) et PESKINE (C.). — Genre des courbes de l'espace projectif, Algebraic geometry [Proc. Tromsø. 1977], p. 31-59. — Berlin, Springer-Verlag, 1978 (Lecture Notes in Math., 687). Zbl0412.14011MR81e:14019
  6. [G-P′] GRUSON (L.) et PESKINE (C.). — Genre des courbes de l'espace projectif, II, Ann. Sci. École Norm. Sup., t. 15, n° 4, 1982, p. 401-418. Zbl0517.14007MR84j:14034
  7. [H] HALPHEN (G.). — Mémoire sur la classification des courbes gauches algébriques, J. École Polytechnique, t. 52, 1882, p. 1-200. 
  8. [H′] HARTSHORNE (R.). — Algebraic geometry. — Berlin, Springer-Verlag, 1977, GTM 52. Zbl0367.14001MR57 #3116
  9. [H-H] HARTSHORNE (R.) and HIRSCHOWITZ (A.). — Smoothing algebraic space curves, Algebraic geometry [Proceedings. 1983], p. 98-131. — Sitges (Lecture Notes in Math., 1124). Zbl0574.14028MR87h:14023
  10. [M] MESTRANO (N.). — Points rationnels des courbes génériques de P3, I, Bull. Soc. Math. France, t. 113, 1985, p. 295-304. Zbl0606.14025MR87i:14022
  11. [M′] MESTRANO (N.). — Points rationnels des hypersurfaces génériques de Pn, C.R. Acad. Sci. Paris Sér. I Math., t. 301, n° 2, 1985, p. 31-33. Zbl0598.14031MR86m:14010

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