This is a preview of subscription content, log in via an institution to check access.
References
[AS] Andreatta, M., Sommese, A.J.: On the adjunction mapping for singular projective varieties. Forum Math.1, 143–152 (1989)
[ArS] Arrondo, E., Sols, I.: Classification of smooth congruences of low degree. J. Reine Angew. Math.393, 199–219 (1989)
[B1] Bâdescu, L.: On ample divisors. Nagoya Math. J.86, 155–171 (1982)
[B2] Bâdescu, L.: On ample divisors. II. In: Algebraic geometry. Proceedings, Bucharest 1980. (Teubner-Texte Math., vol. 40, pp. 12–32) Leipzig: Teubner 1981
[B3] Bâdescu, L.: The projective plane blow-up at a point as an ample divisor. Rend. Accad. Ligure Sci. Lett.38, 3–7 (1981)
[BL1] Ballico, E., Lanteri, A.: An indecomposable rank-2 vector bundle the complete linear system of whose determinant consists of hyperelliptic curves. Boll. Unione Mat. Ital., VII. Ser., A3, 225–230 (1989)
[BL2] Ballico, E., Lanteri, A.: Ample and spanned rank-2 vector bundles withc 2=2 on a complex surfaces. Arch. Math.56, 611–615 (1981)
[BLP] Beltrametti, M., Lanteri, A., Palleschi, M.: Algebraic surfaces containing an ample divisor of arithmetic genus two. Ark. Mat.25, 189–210 (1987)
[BG] Bloch, S., Gieseker, D.: The positivity of the Chern classes of an ample vector bundle. Invent. Math.12, 112–117 (1971)
[CSa] Cho, K., Sato, E.: Smooth projective varieties dominated byG/P. (Preprint)
[Dr] Drezet, J.M.: Fibres uniformes de type (0,...,0,−1,...,−1) surP 2. J. Reine Angew. Math.325, 1–27 (1981)
[El] Elencwajg, G.: Les fibrés uniformes de rang 3 surP 2(C) sont homogènes. Math. Ann.231, 217–227 (1978)
[F1] Fujita, T.: On the structure of polarized manifolds with total deficiency one. Part I. J. Math. Soc. Japan32, 709–725 (1980)
[F2] Fujita, T.: On polarized manifolds whose adjoint bundles are not semipositive. In: Oda, T. (ed.) Algebraic geometry. Sendai 1985, (Adv. Stud. Pure Math. vol. 10, pp. 167–178. Tokyo: Kinokuniya 1987
[F3] Fujita, T.: Classification of Polarized Manifolds of sectional genus two. In: Hijikata, H. et al. (eds.) Algebraic geometry and Comm. Algebra, 1987, pp. 73–98. Tokyo: Kinokuniya 1988
[F4] Fujita, T.: Ample vector bundles of smallc 1-sectional genera. J. Math. Kyoto Univ.29–1, 1–16 (1989)
[F5] Fujita, T.: On Hyperelliptic polarized varieties. Tohoku Math. J.35, 1–44 (1983)
[F6] Fujita, T.: On polarized manifolds of Δ-genus two; Part I. J. Math. Soc. Japan36, 709–730 (1984)
[Fu] Fulton, W.: Intersection theory. Berlin, Heidelberg New York: Springer 1984
[GH] Griffiths, P., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978
[H] Hartshorne, R.: Algebraic geometry. Berlin, Heidelberg, New York: Springer 1977
[Io] Ionescu, P.: Embedded projective varieties with small invariants. In: Badescu, L., Popescu, D. (eds.) Algebraic geometry. Proceedings, Bucharest 1982. (Lect. Notes Math., vol. 1056, pp. 142–186) Berlin Heidelberg New York: Springer 1984
[LL] Lanteri, A., Livorni, E.L.: Complex surfaces polarized by an ample and spanned line bundle of genus three. Geom. Dedicata31, 267–289 (1989)
[LP] Lanteri, A., Palleschi, M.: Adjuntion properties of polarized surfaces via Reider's method. Math. Scand.65, 175–188 (1989)
[LS] Lanteri, A., Sommese, A.J.: A vector bundle characterization ofP n. Abh. Math. Semin. Univ. Hamb.58, 89–96 (1988)
[La 1] Lazarsfeld, R.: A Barth-type theorem for branched coverings of projective space. Math. Ann.249, 153–162 (1980)
[LA 2] Lazarsfeld, R.: Some applications of the theory of positive vector bundles. In: Greco, S., Strano, R. (eds.) Complete Intersections. (Lect. Notes Math. vol. 1092, pp. 29–61) Berlin, Heidelberg, New York: Springer 1984
[M] Maeda, H.: On polarized surfaces of sectional genus three. Sci. Pap. Coll. Arts Sci., Univ. Tokyo37, 103–112 (1988)
[Mi] Miranda, R.: Triple covers in algebraic geometry. Am. J. Math.107, 1123–1158 (1985)
[OSS] Okonek, Ch., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces. (Prog. Math., vol. 3). Boston, Basel, Stuttgart: Birkhäuser 1980
[P] Papantonopoulou, A.: Embeddings in G(1,3). Proc. Am. Math. Soc.89, 583–586 (1983); Corrigendum, Ibidem, Proc. Am. Math. Soc.95 (1985)
[Pa] Pardini, R.: Triple covers in positive characteristic. Ark. Mat.27, 319–341 (1989)
[Sa] Sato, J.: Varieties which have two projective space bundle structures. J. Math. Kyoto Univ.25, 445–457 (1985)
[ShS] Shiffman, B., Sommese, A.J.: Vanishing theorems on complex manifolds. (Prog. Math. vol. 56). Boston, Basel, Stuttgart: Birkhäuser 1985
[S1] Sommese, A.J.: On manifolds that cannot be ample divisors. Math. Ann.221, 55–72 (1976)
[S2] Sommese, A.J.: On the adjunction theoretic structure of projective varieties. In: Complex analysis and algebraic geometry, Göttingen 1985. (Lect. Notes Math., vol. 1194, pp. 175–213). Berlin, Heidelberg, New York: Springer 1986
[SV] Sommese, A.J., Van de Ven, A.: On the adjunction mapping. Math. Ann.278, 593–603 (1987)
Author information
Authors and Affiliations
Additional information
Work partially supported by the M.P.I. of the Italian Government
Rights and permissions
About this article
Cite this article
Biancofiore, A., Lanteri, A. & Livorni, E.L. Ample and spanned vector bundles of sectional genera three. Math. Ann. 291, 87–101 (1991). https://doi.org/10.1007/BF01445192
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01445192