Abstract
In this note we use the monodromy argument to prove a Noether-Lefschetz theorem for vector bundles.
Similar content being viewed by others
References
P. Deligne,Théorie de Hodge II, Publ. Math. IHES40 (1971), 5–59
P. Deligne, N. Katz,Groupes de Monodromie en Géométrie Algébrique, Lecture Notes in Mathematics340, Springer Verlag Berlin, (1973)
L. Ein,An analogue of Max Noether's theorem, Duke Math. J.52 No. 3 (1985), 689–706
N. Goldstein,A second Lefschetz theorem for general manifold sections in complex projective space, Math. Ann.246 (1979), 41–68
R. Hartshorne,Equivalence relations on algebraic cycles and subvarieties of small codimension, Proc. of Symp. of Pure Math.29 (1975), 129–164
K. Lamotke,The topology of complex projective varieties after S. Lefschetz, Topology20 (1981), 15–51
D. Mumford,Lectures on curves on an algebraic surface, Annals of Math. Studies59, Princeton University Press (1966)
A. Sommese,Submanifolds of abelian varieties, Math. Ann.233 (1978), 229–256
J. Spandaw,Noether-Lefschetz problems for vector bundles, Math. Nachr.169 (1994), 287–308
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Spandaw, J.G. A Noether-Lefschetz theorem for vector bundles. Manuscripta Math 89, 319–323 (1996). https://doi.org/10.1007/BF02567520
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02567520