A generalized geometric version of the product theorem of Nadel. (Une version géométrique généralisée du théorème du produit de Nadel.) (French) Zbl 0783.14023

Campana, F.

Bull. Soc. Math. Fr. 119, No. 4, 479-493 (1991).

See the review below of the author’s same titled paper in C. R. Acad. Sci., Paris, Sér. I 312, No. 11, 853-856 (1991).

Reviewer: F.L.Zak (Moskva)

MSC:

14J45	Fano varieties
57R20	Characteristic classes and numbers in differential topology

Keywords:

product theorem of Nadel; bound for Chern class; Fano variety; movable rational curve

Citations:

Zbl 0783.14024

References:

[1]	CAMPANA (F.) . - Coréduction algébrique d’un espace analytique faiblement Kählérien compact , Invent. Math., t. 63, 1981 , p. 187-223. MR 84e:32028 | Zbl 0436.32024 · Zbl 0436.32024 · doi:10.1007/BF01393876
[2]	DEMAILLY (J.-P.) . - Transcendental proof of a generalized Kawamata-Viehweg vanishing theorem . - Preprint, 1988 . · Zbl 1112.32303
[3]	KODAIRA (K.) . - A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds , Ann. Math., t. 75, 1962 , p. 146-162. MR 24 #A3665b | Zbl 0112.38404 · Zbl 0112.38404 · doi:10.2307/1970424
[4]	KOLLAR (J.) and MATSUSAKA (T.) . - Riemann-Roch type inequalities , Amer. J. Math., t. 105, 1983 , p. 229-252. MR 85c:14007 | Zbl 0538.14006 · Zbl 0538.14006 · doi:10.2307/2374387
[5]	NADEL (A.) . - A finiteness theorem for Fano 4. Folds . - Preliminary version.
[6]	NADEL (A.) . - The boundedness of degree of Fano Varieties with Picard number one . - Preprint MIT, 1990 .
[7]	TSUJI (H.) . - Boundness of the degree of Fano manifolds with b2 = 1 , Preprint 1990 .