@article{ASNSP_1988_4_15_2_193_0,
author = {Fania, Maria Lucia and Sommese, Andrew John},
title = {Varieties whose hyperplane section are $\mathbb {P}_\mathbb {C}^{\,k}$ bundles},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {193--218},
year = {1988},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 15},
number = {2},
mrnumber = {1007397},
zbl = {0691.14004},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1988_4_15_2_193_0/}
}
TY - JOUR
AU - Fania, Maria Lucia
AU - Sommese, Andrew John
TI - Varieties whose hyperplane section are $\mathbb {P}_\mathbb {C}^{\,k}$ bundles
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1988
SP - 193
EP - 218
VL - 15
IS - 2
PB - Scuola normale superiore
UR - https://www.numdam.org/item/ASNSP_1988_4_15_2_193_0/
LA - en
ID - ASNSP_1988_4_15_2_193_0
ER -
%0 Journal Article
%A Fania, Maria Lucia
%A Sommese, Andrew John
%T Varieties whose hyperplane section are $\mathbb {P}_\mathbb {C}^{\,k}$ bundles
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1988
%P 193-218
%V 15
%N 2
%I Scuola normale superiore
%U https://www.numdam.org/item/ASNSP_1988_4_15_2_193_0/
%G en
%F ASNSP_1988_4_15_2_193_0
Fania, Maria Lucia; Sommese, Andrew John. Varieties whose hyperplane section are $\mathbb {P}_\mathbb {C}^{\,k}$ bundles. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 15 (1988) no. 2, pp. 193-218. https://www.numdam.org/item/ASNSP_1988_4_15_2_193_0/
[A+K] - , Introduction to Grothendieck Duality Theory, Springer Lecture Notes 146 (1970), Springer Verlag, Berlin. | Zbl | MR
[B1] , On ample divisors II, Proceedings of the "Week of Algebraic Geometry", Bucharest 1980, Teubner, Leipzig 1981. | Zbl | MR
[B2] , On ample divisors, Nagoya Math. Journal 86 (1982), pp. 155-171. | Zbl | MR
[B3] , Hyperplane sections and deformations, Algebraic Geometry, Springer Lecture Notes 1056 (1984), pp. 1-33, Springer Verlag, Berlin. | Zbl | MR
[D+M] - , Surfaces de type general dominees par une variete fixe, C.R. Acad Sci. Paris Ser. A-B 291 (1980). | Zbl | MR
[E] , Singularites rationelles et deformations, Inv. Math., 47 (1978), pp. 139-147. | Zbl | MR | EuDML
[Fa1] , Extension of modifications of ample divisors on fourfolds, J. Math. Soc. Japan, 36 (1984), pp. 107-120. | Zbl | MR
[Fa2] , Extension of modifications of ample divisors on fourfolds II, J. Math. Soc. Japan, 38 (1986), pp. 285-294. | Zbl | MR
[Fa+So] - , On the minimality of hyperplane sections of Gorenstein 3-folds, Proceedings in honor of W. Stoll, Notre Dame (1984), Aspects of Mathematics E9 (1986), pp. 89-114, Vieweg. | Zbl | MR
[F+S+So] - - , On the structure of fourfolds with a hyperplane section which is a P1 bundle over a surface that fibres over a curve, Nagoya Math. Journal, 108 (1987), pp. 1-14. | Zbl | MR
[Fu1] , On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan 32 (1980), pp. 153-169. | Zbl | MR
[Fu2] , Rational retractions onto ample divisors, Sci. Papers of the College of Arts and Sciences of the University of Tokyo 33 (1983), pp. 33-39. | Zbl | MR
[(G+M)1] - , On the topology of complex algebraic maps, to appear. | MR
[(G+M)2] - , Stratified Morse theory, Proceedings of Symposia in Pure Mathematics 40 (1983), part 1, pp. 517-533. | Zbl | MR
[(G+M)3] - , Morse theory and intersection homology, Analyse et Topologie sur les Espace Singuliers, Asterique 101 (1983), pp. 135-192. | Zbl | MR | Numdam
[Gr+Ri] - , Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Raumen, Inv. Math. 11 (1970), pp. 263-292. | Zbl | MR
[Gri] , The extension problem in complex analysis II, Amer. J. Math. 88 (1966), pp. 366-446. | Zbl | MR
[Gro] , Cohomologie locale des faisceaux coherents et theoremes de Lefschetz locaux et globaux (DGA 2), North Holland Press. | Zbl
[H] , Lefschetz theorems for singular varieties, Proc. Symp. in Pure Math. 40-1 (1983), pp. 547-557. | Zbl | MR
[Ha] , Algebraic Geometry, Springer Verlag, Berlin-Heidelberg- New York, 1977. | Zbl | MR
[Ka] , A generalization of Kodaira-Ramanujam's vanishing theorem, Math. Ann. 261 (1982), pp. 43-46. | Zbl | MR
[Ke] et al., Toroidal embeddings I, Springer Lecture Notes 339 (1973), Springer Verlag, Berlin. | Zbl | MR
[LP] , Problemes d' extension de classes de cohomologie, Seminaire de geometrie analytique, Asterique 17 (1979), pp. 79-109. | Zbl | MR | Numdam
[M] , Family of varieties dominated by a variety, Proc. Japan Acad. Ser. A, Math. Sci. 55 (1979), pp. 146-151. | Zbl | MR
[Ro] , Algebraic Threefolds, Springer Verlag, Berlin (1953).
[Sh+So] - , Vanishing Theorems on Complex Manifolds, Progress in Mathematics 56 (1985), Birkhauser, Boston. | Zbl | MR
[Si] , Relative vanishing theorems 1: applications to ample divisors, Comm. Math. Helv. 52 (1977), pp. 483-489. | Zbl | MR
[So1] , On manifolds that cannot be ample divisors, Math. Ann. 221 (1976), pp. 55-72. | Zbl | MR
[So2] , On the minimality of hyperplane sections of projective threefolds, J. reine und angew. Math. 329 (1981), pp. 16-41. | Zbl | MR
[So3] , Ample divisors on 3-folds, Algebraic Threefolds, Springer Lecture Notes 947 (1982), pp. 229-240. | Zbl | MR
[So4] , On the birational theory of hyperplane sections of projective threefolds, Unpublished 1981 Manuscript. | MR
[So5] , Complex subspaces of homogeneous complex manifolds, II-Homotopy results, Nagoya Math. J. 86 (1982), pp. 101-129. | Zbl | MR
[So6] , On the adjunction theoretic structure of projective varieties, Proceedings of Complex Geometry Conference, Göttingen, May 1985 (ed. by H. Grauert), Springer Lecture Notes in Mathematics 1164 (1986), pp. 175-213. | Zbl | MR
[V] , Vanishing theorems, J. reine und angew. Math. 335 (1982), pp. 1-8. | Zbl | MR
[W] , Comparison of de Rham and Dolbeault cohomology for proper surjective mappings, Pac. Jour. of Math. 53 (1974), pp. 281-300. | Zbl | MR






