On a theorem of Enriques - Swinnerton-Dyer

Alexei N. Skorobogatov

Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)

  • Volume: 2, Issue: 3, page 429-440
  • ISSN: 0240-2963

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Skorobogatov, Alexei N.. "On a theorem of Enriques - Swinnerton-Dyer." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.3 (1993): 429-440. <http://eudml.org/doc/73327>.

@article{Skorobogatov1993,
author = {Skorobogatov, Alexei N.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {existence of rational point; projective plane with four points in general position blown-up; Grassmannian variety},
language = {eng},
number = {3},
pages = {429-440},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On a theorem of Enriques - Swinnerton-Dyer},
url = {http://eudml.org/doc/73327},
volume = {2},
year = {1993},
}

TY - JOUR
AU - Skorobogatov, Alexei N.
TI - On a theorem of Enriques - Swinnerton-Dyer
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1993
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 3
SP - 429
EP - 440
LA - eng
KW - existence of rational point; projective plane with four points in general position blown-up; Grassmannian variety
UR - http://eudml.org/doc/73327
ER -

References

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  1. [1] Colliot-Thélène ( J.-L.) and Sansuc ( J.-J.) .— La descente sur les variétés rationnelles, II, Duke Math. J.54 (1987), pp. 375-492. Zbl0659.14028MR899402
  2. [2] Dolgachev ( I.) and Ortland ( D.) .— Point sets in projectives spaces and theta functions, Astérisque165 (1988). Zbl0685.14029MR1007155
  3. [3] Enriques ( F.) . — Sulle irrazionalità da cui puo farsi dipendere la risoluzione d'un equazione algebrica, f(x, y, z) = 0 con funzioni razionali di due parametri, Math. Ann.49 (1897), pp. 1-23. Zbl28.0559.02JFM28.0559.02
  4. [4] Gelfand ( I.M.) and Serganova ( V.V.) .— Combinatorial geometries and torus strata on homogeneous compact manifolds, Uspekhi Mat. Nauk. (Russian) 42:2 (1987), pp. 107-133; I.M. Gelfand. Coll. Papers, SpringerV-III (1989), pp. 926-958. Zbl0629.14035MR898623
  5. [5] Hartshorne ( R.) - Algebraic geometry, Springer (1977). Zbl0367.14001MR463157
  6. [6] Lang ( S.) .- Some applications of the local uniformisation theorem, Amer. J. Math.76 (1954), pp. 362-374. Zbl0058.27201MR62722
  7. [7] Manin ( Yu.I.) .— Cubic forms, North-Holland, 2nd edition (1986). Zbl0582.14010MR833513
  8. [8] Mumford ( D.) and Fogarty ( J.) .- Geometric invariant theory, Springer, 2nd edition. (1982). Zbl0504.14008MR719371
  9. [9] Nishimura ( H.) .- Some remark on rational points, Mem. Coll. Sci. Kyoto, Ser A, 29 (1955), pp. 189-192. Zbl0068.14802MR95851
  10. [10] Serre ( J.-P.) .- Cohomologie galoisienne, SpringerLect. Notes in Math.5 (1964). Zbl0136.02801MR1324577
  11. [11] Swinnerton-Dyer ( H.P.F.) .— Rational points on del Pezzo surfaces of degree 5, In: 5th Nordic Summer School in Math. (1970), pp. 287-290. Zbl0275.14013MR376684
  12. [12] Weil ( A.) .- Abstract versus classical algebraic geometry, Proc. Int. Congr. Math. 1954, Amsterdam, Vol. 3 (1956), pp. 550-558. Zbl0073.37303MR92196

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