Some intrinsic and extrinsic characterizations of the projective space
Bulletin de la Société Mathématique de France, Tome 113 (1985), pp. 205-210. 
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     author = {Fulton, W. and Kleiman, S. and Piene, R. and Tai, H.},
     title = {Some intrinsic and extrinsic characterizations of the projective space},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {205--210},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {113},
     year = {1985},
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     zbl = {0581.14037},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2027/}
}
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Fulton, W.; Kleiman, S.; Piene, R.; Tai, H. Some intrinsic and extrinsic characterizations of the projective space. Bulletin de la Société Mathématique de France, Tome 113 (1985), pp. 205-210. doi : 10.24033/bsmf.2027. http://www.numdam.org/articles/10.24033/bsmf.2027/

[1] Fujita (T.). - On the structure of polarized varieties with Δ-genera zero, J. Fac. Sc., Univ. Tokyo, Sect. IA Math., Vol. 22, 1975, pp. 103-115. | MR | Zbl

[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. | MR | Zbl

[3] Goren (R.). - Characterization and algebraic deformations of projective space, J. Math., Kyoto Univ., Vol. 8-1, 1968, pp. 41-47. | MR | Zbl

[4] Grothendieck (A.) [EGA IV]. - Éléments de géométrie algébrique IV, Publ. Math. I.H.E.S., No. 32, 1967. | Numdam

[5] Hartshorne (R.). - Ample vector bundles, Publ. Math. I.H.E.S., Vol. 29, 1966, pp. 63-94. | Numdam | MR | Zbl

[6] Hirzebruch (F.) and Kodaira (K.). - On the complex projective spaces, J. Math. pures et appl., Ser. 9, Vol. 36, 1957, pp. 201-216. | MR | Zbl

[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. | Zbl

[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. | Zbl

[9] Kobayashi (S.) and Ochiai (T.). - Characterizations of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ., Vol. 13-1, 1973, pp. 31-47. | MR | Zbl

[10] Kollar (J.). - Fano varieties of large dimension and large index, Vestnik Moskovskogo Univ., No. 3, 1981, pp. 31-34. | Zbl

[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. | Zbl

[12] Manin (Yu. I.). - Cubic Forms, North Holland Publishing Company, Amsterdam-London, 1974.

[13] Mori (S.). - Projective manifolds with ample tangent bundles, Ann. Math., Vol. 110, 1979, pp. 593-606. | MR | Zbl

[14] Mori (S.) and Mukai (S.). - Classification of Fano 3-folds with B2 ≥ 2, Manuscr. math., Vol. 36, 1981, pp. 147-162. | MR | Zbl

[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. | MR | Zbl

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