Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface, II

• Autores: Indranil Biswas
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 56, Fasc. 3, 2005, págs. 235-252
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In [6], orbifold G¿bundles on a certain class of elliptic fibrations over a smoothcomplex projective curve X were related to parabolic G¿bundles over X. Inthis continuation of [6] we define and investigate holomorphic connections onan orbifold G¿bundle over an elliptic fibration.

• Referencias bibliográficas
  • B. Anchouche and I. Biswas, Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold, Amer. J. Math....
  • M.F. Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957), 181–207.
  • V. Balaji, I. Biswas, and D.S. Nagaraj, Principal bundles over projective manifolds with parabolic structure over a divisor, Tôhoku Math....
  • V. Balaji, I. Biswas, and D.S. Nagaraj, Ramified G-bundles as parabolic bundles, J. Ramanujan Math. Soc. 18 (2003), 123–138.
  • I. Biswas, Parabolic ample bundles, Math. Ann. 307 (1997), 511–529.
  • I. Biswas, Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface, Collect. Math. 54 (2003),...
  • I. Biswas, Connections on a parabolic principal bundle over a curve, Canadian J. Math. (to appear).
  • T. Fujita, Semipositive line bundles, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 30 (1983), 353–378.
  • R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, 52, Springer-Verlag, New York, 1977.
  • S. Kobayashi, Differential Geometry of Complex Vector Bundles, Publications of the Mathematical Society of Japan, 15, Iwanami Shoten Publishers...