References
Atiyah, M.F.: Complex fibre bundles and ruled surfaces. Proc. London Math. Soc. (3),5, 407–434 (1955).
—: On the Krull-Schmidt theorem with application to sheaves. Bull. Soc. Math. France84, 307–317 (1956).
—: Complex analytic connections in fibre bundles. Trans. Amer. Math. Soc.85, 181–207 (1957).
—: Vector bundles over an elliptic curve. Proc. London Math. Soc. (3), 7, 414–452 (1957).
Grothendieck, A.:Local cohomology. Lecture Notes in Math. 41. Berlin-Heidelberg-New York: Springer 1967.
Katz, N.M., Oda, T.: On the differentiation of De Rham cohomology classes with respect to parameters. J. Math. Kyoto Univ.8, 199–213 (1968).
Kleiman, S.: Geometry on Grassmannians and applications to splitting bundles and smoothing cycles. Publ. Math. IHES36 (1969).
Matsushima, Y.: Fibrés holomorphes sur un tore complexe. Nagoya Math. J.14, 1–24 (1959).
Morikawa, H.: A note on holomorphic vector bundles over complex tori. Nagoya Math. J.41, 101–106 (1971).
Morimoto, A.: Sur la classifications des espaces fibrés vectoriels holomorphes sur un tore complexe admettant des connexions holomorphes. Nagoya Math. J.15, 83–154 (1959).
Mumford, D.:Abelian varieties. Tata Inst. Studies in Math. Oxford Univ. Press 1970.
Mumford, D. Kempf, G.: Varieties defined by quadratic equations. C.I.M.E. “Questions on algebraic varieties”, Varenna 1969, 29–100, Edizioni Cremonese, Roma 1970.
Oda, T.: Vector bundles on an elliptic curve. Nagoya Math. J.43 (1971).
Schwarzenberger, R. L. E.: Vector bundles on algebraic surfaces. Proc. London Math. Soc. (3),11, 601–622 (1961).
Takemoto, F.: Stable vector bundles on algebraic surfaces (to appear).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Oda, T. Vector bundles on abelian surfaces. Invent Math 13, 247–260 (1971). https://doi.org/10.1007/BF01404634
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01404634