Voir la notice de l'article provenant de la source Cambridge University Press
Alzati, Alberto; Besana, Gian Mario. Criteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces. Canadian journal of mathematics, Tome 62 (2010) no. 6, pp. 1201-1227. doi: 10.4153/CJM-2010-066-5
@article{10_4153_CJM_2010_066_5,
author = {Alzati, Alberto and Besana, Gian Mario},
title = {Criteria for {Very} {Ampleness} of {Rank} {Two} {Vector} {Bundles} over {Ruled} {Surfaces}},
journal = {Canadian journal of mathematics},
pages = {1201--1227},
year = {2010},
volume = {62},
number = {6},
doi = {10.4153/CJM-2010-066-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-066-5/}
}
TY - JOUR AU - Alzati, Alberto AU - Besana, Gian Mario TI - Criteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces JO - Canadian journal of mathematics PY - 2010 SP - 1201 EP - 1227 VL - 62 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-066-5/ DO - 10.4153/CJM-2010-066-5 ID - 10_4153_CJM_2010_066_5 ER -
%0 Journal Article %A Alzati, Alberto %A Besana, Gian Mario %T Criteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces %J Canadian journal of mathematics %D 2010 %P 1201-1227 %V 62 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-066-5/ %R 10.4153/CJM-2010-066-5 %F 10_4153_CJM_2010_066_5
[A-B-B] [A-B-B] Alzati, A., Bertolini, M., and Besana, G. M., Numerical criteria for very ampleness of divisors on projective bundles over an elliptic curve. Canad. J. Math. 48(1996), no. 6, 1121–1137. Google Scholar
[B] [B] Brosius, J. E., Rank-2 vector bundles on a ruled surface. I. Math. Ann. 265(1983), no. 2, 155–168. doi:10.1007/BF01460796 Google Scholar
[B-B-1] [B-B-1] Besana, G. M. and Biancofiore, A., Degree eleven manifolds of dimension greater than or equal to three. Forum Math. 17(2005), no. 5, 711–733. doi:10.1515/form.2005.17.5.711 Google Scholar
[B-B-2] [B-B-2] Besana, G. M. and Biancofiore, A., Numerical constraints for embedded projective manifolds. Forum Math. 17(2005), no. 4, 613–636. doi:10.1515/form.2005.17.4.613 Google Scholar
[B-F] [B-F] Besana, G. M. and Fania, M. L., The dimension of the Hilbert scheme of special threefolds. Comm. Algebra 33(2005), no. 10, 3811–3829. doi:10.1080/00927870500242926 Google Scholar
[B-S] [B-S] Beltrametti, M. C. and Sommese, A. J., The adjunction theory of complex projective varieties. de Gruyter Expositions in Mathematics, 16, Walter de Gruyter & Co., Berlin 1995. Google Scholar
[B-D-S] [B-D-S] Beltrametti, M. C., Di Rocco, S., and Sommese, A. J., On generation of jets for vector bundles. Rev. Mat. Complut. 12(1999), no. 1, 27–45. Google Scholar
[Bu] [Bu] Butler, D. C., Normal generation of vector bundles over a curve. J. Differential Geom. 39(1994), no. 1, 1–34. Google Scholar
[C-M] [C-M] Ciliberto, C. and Miranda, R., Degeneration of planar linear systems. J. Reine Angew. Math. 501(1998), 191–220. Google Scholar
[F-L-1] [F-L-1] Fania, M. L. and Livorni, E. L., Degree nine manifolds of dimension greater than or equal to 3. Math. Nachr. 169(1994), 117–134. doi:10.1002/mana.19941690111 Google Scholar
[F-L-2] [F-L-2] Fania, M. L. and Livorni, E. L., Degree ten manifolds of dimension n greater than or equal to 3. Math. Nachr. 188(1997), 79–108. doi:10.1002/mana.19971880107 Google Scholar
[G-H] [G-H] Griffiths, P. and Harris, J., Principles of algebraic geometry. Reprint of the 1978 original, John Wiley & Sons, New York, 1994. Google Scholar
[H] [H] Hartshorne, R., Algebraic geometry. Graduate Texts in Mathematics, 52, Springer-Verlag, New York-Heidelberg, 1977. Google Scholar
[H-R] [H-R] Holme, A. and Roberts, J., On the embeddings of projective varieties. In: Algebraic geometry (Sundance, UT, 1986), Lecture Notes in Math., 1311, Springer, Berlin, 1988, pp. 118–146. Google Scholar
[D-L] [D-L] Lazarsfeld, R. and del Busto, G. F., Lectures on linear series. In: Complex algebraic geometry (Park City, UT, 1993), IAS/Park City Math. Ser., 3, American Mathematical Society, Providence, RI, 1997, pp. 161–219. Google Scholar
[M] [M] Miyaoka, Y., The Chern classes and Kodaira dimension of a minimal variety. In: Algebraic Geometry, Sendai 1985, Adv. Stud. Pure Math., 10, North-Holland, Amsterdam, 1987, pp. 449–476. Google Scholar
[O] [O] Ottaviani, G., On 3-folds in P5 which are scrolls. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 19(1992), no. 3, 451–471. Google Scholar
Cité par Sources :