Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Complex analytic connections in fibre bundles

Author: M. F. Atiyah
Journal: Trans. Amer. Math. Soc. 85 (1957), 181-207
MSC: Primary 53.3X
MathSciNet review: 0086359
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • M. Atiyah, On the Krull-Schmidt theorem with application to sheaves, Bull. Soc. Math. France 84 (1956), 307–317. MR 86358
  • M. F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. (3) 7 (1957), 414–452. MR 131423, DOI
  • André Blanchard, Variétés kählériennes et espaces fibrés, C. R. Acad. Sci. Paris 234 (1952), 284–286 (French). MR 54320
  • André Blanchard, Espaces fibrés kählériens compacts, C. R. Acad. Sci. Paris 238 (1954), 2281–2283 (French). MR 66015
  • H. Cartan and J.-P. Serre, Seminaire E.N.S., 1953-1954.
  • Shiing-shen Chern, Differential geometry of fiber bundles, Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 2, Amer. Math. Soc., Providence, R. I., 1952, pp. 397–411. MR 0045432
  • P. Dolbeault, Thèse (to appear in Ann. of Math.). A. Grothendieck, A general theory of fibre spaces with structure sheaf, University of Kansas, Report No. 4, 1955.
  • F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 9, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956 (German). MR 0082174
  • Shigeo Nakano, Tangential vector bundle and Todd canonical systems of an algebraic variety, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 29 (1955), 145–149. MR 104676, DOI
  • Shigeo Nakano, On complex analytic vector bundles, J. Math. Soc. Japan 7 (1955), 1–12. MR 73263, DOI
  • Jean-Pierre Serre, Faisceaux algébriques cohérents, Ann. of Math. (2) 61 (1955), 197–278 (French). MR 68874, DOI
  • ---, Un théorème de dualité, Comm. Math. Helv. vol. 29 (1955) pp. 9-26. I. M. Singer, (to appear).
  • J. A. Todd, Invariant and covariant systems on an algebraic variety, Proc. London Math. Soc. (2) 46 (1940), 199–230. MR 2214, DOI
  • ---, The geometrical invariants of algebraic loci, Proc. London Math. Soc. (2) vol. 45 (1938) pp. 410-424. A. Weil, Generalization de fonctions abeliennes, J. Math. Pures Appl. vol. 17 (1938) pp. 47-87.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 53.3X

Retrieve articles in all journals with MSC: 53.3X

Additional Information

Article copyright: © Copyright 1957 American Mathematical Society