Some intrinsic and extrinsic characterizations of the projective space

W. Fulton; S. Kleiman; R. Piene; H. Tai

Bulletin de la Société Mathématique de France (1985)

  • Volume: 113, page 205-210
  • ISSN: 0037-9484

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Fulton, W., et al. "Some intrinsic and extrinsic characterizations of the projective space." Bulletin de la Société Mathématique de France 113 (1985): 205-210. <http://eudml.org/doc/87480>.

@article{Fulton1985,
author = {Fulton, W., Kleiman, S., Piene, R., Tai, H.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Veronese embedding; osculating space; r-fold; anticanonical divisor},
language = {eng},
pages = {205-210},
publisher = {Société mathématique de France},
title = {Some intrinsic and extrinsic characterizations of the projective space},
url = {http://eudml.org/doc/87480},
volume = {113},
year = {1985},
}

TY - JOUR
AU - Fulton, W.
AU - Kleiman, S.
AU - Piene, R.
AU - Tai, H.
TI - Some intrinsic and extrinsic characterizations of the projective space
JO - Bulletin de la Société Mathématique de France
PY - 1985
PB - Société mathématique de France
VL - 113
SP - 205
EP - 210
LA - eng
KW - Veronese embedding; osculating space; r-fold; anticanonical divisor
UR - http://eudml.org/doc/87480
ER -

References

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  2. [2] FUJITA (T.). — On topological characterizations of complex projective spaces and affine linear spaces, Proc. Japan Acad., Vol. 56, Ser. A, 1980, pp. 231-234. Zbl0453.14008MR81m:14016
  3. [3] GOREN (R.). — Characterization and algebraic deformations of projective space, J. Math., Kyoto Univ., Vol. 8-1, 1968, pp. 41-47. Zbl0213.47802MR38 #2139
  4. [4] GROTHENDIECK (A.) [EGA IV]. — Éléments de géométrie algébrique IV, Publ. Math. I.H.E.S., No. 32, 1967. 
  5. [5] HARTSHORNE (R.). — Ample vector bundles, Publ. Math. I.H.E.S., Vol. 29, 1966, pp. 63-94. Zbl0173.49003MR33 #1313
  6. [6] HIRZEBRUCH (F.) and KODAIRA (K.). — On the complex projective spaces, J. Math. pures et appl., Ser. 9, Vol. 36, 1957, pp. 201-216. Zbl0090.38601MR19,1077c
  7. [7] ISKOVSKIH (V. A.). — Fano 3-folds I, Izv. Akad. Nauk., Vol. 41, 1977 ; Engl. transl. Math. U.S.S.R., Izv., Vol. 11, 1977, pp. 485-527. Zbl0382.14013
  8. [8] ISKOVSKIH (V. A.). — Fano 3-folds II, Izv. Akad. Nauk., Vol. 42, 1978 ; Engl. transl. Math. U.S.S.R., Izv., Vol. 12, 1978, pp. 469-506. Zbl0407.14016
  9. [9] KOBAYASHI (S.) and OCHIAI (T.). — Characterizations of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ., Vol. 13-1, 1973, pp. 31-47. Zbl0261.32013MR47 #5293
  10. [10] KOLLAR (J.). — Fano varieties of large dimension and large index, Vestnik Moskovskogo Univ., No. 3, 1981, pp. 31-34. Zbl0463.14013
  11. [11] L'VOVSKIĨ (S. M.). — Boundedness of the degree of Fano threefolds, Izv. Akad. Nauk. S.S.S.R., Ser. Mat., Vol. 45, 1981 ; Engl. transl. Math. U.S.S.R. Izv., Vol. 19, 1982, pp. 521-558. Zbl0503.14020
  12. [12] MANIN (Yu. I.). — Cubic Forms, North Holland Publishing Company, Amsterdam-London, 1974. 
  13. [13] MORI (S.). — Projective manifolds with ample tangent bundles, Ann. Math., Vol. 110, 1979, pp. 593-606. Zbl0423.14006MR81j:14010
  14. [14] MORI (S.) and MUKAI (S.). — Classification of Fano 3-folds with B2 ≥ 2, Manuscr. math., Vol. 36, 1981, pp. 147-162. Zbl0478.14033MR83f:14032
  15. [15] PIENE (R.). — Numerical characters of curves in projective n-space, Real and complex singularities, Oslo 1976, P. Holm, Sijthoff & Noordhoff, Alpen aan den Rijn, 1977, pp. 475-495. Zbl0375.14017MR58 #22095

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