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Original Articles

A Construction of Chern Classes of Parabolic Vector Bundles

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Pages 1111-1122 | Received 07 Aug 2011, Published online: 20 Nov 2013

REFERENCES

  • Balaji , V. , Biswas , I. , Nagaraj , D. S. ( 2003 ). Ramified G–bundles as parabolic bundles . Jour. Ramanujan Math. Soc. 18 : 123 – 138 .
  • Biswas , I. ( 1997 ). Parabolic bundles as orbifold bundles . Duke Math. Jour. 88 : 305 – 325 .
  • Biswas , I. ( 1997 ). Chern classes for parabolic bundles . Jour. Math. Kyoto Univ. 37 : 597 – 613 .
  • Biswas , I. ( 2006 ). Connections on a parabolic principal bundle . Canadian Jour. Math. 58 : 262 – 281 .
  • Biswas , I. ( 2009 ). Connections on a parabolic principal bundle, II . Canadian Math. Bull. 52 : 175 – 185 .
  • Biswas , I. , Dhillon , A. ( 2011 ). Semistability criterion for parabolic vector bundles on curves . Jour. Math. Sci. Univ. Tokyo 18 : 181 – 191 .
  • Borne , N. ( 2007 ). Fibrés paraboliques et champ des racines. Int. Math. Res. Not. 16, Art. ID rnm049 .
  • Borne , N. (2009). Sur les représentations du groupe fondamental d'une variété priveé d'un diviseur à croisements normaux simples. Indiana Univ. Math. Jour. 58:137–180.
  • Edidin , D. , Graham , W. ( 1998 ). Equivariant intersection theory . Invent. Math. 131 : 595 – 634 .
  • Fulton , W. ( 1998 ). Intersection theory. Second edition, Ergebnisse der Mathematik und ihrer Grenzgebiete. Folge 3, Vol. 2, Berlin: Springer-Verlag .
  • Hartshorne , R. ( 1977 ). Algebraic Geometry. Graduate Texts in Mathematics. No. 52, New York-Heidelberg: Springer-Verlag .
  • Iyer , J. N. , Simpson , C. T. ( 2007 ). A relation between the parabolic Chern characters of the de Rham bundles . Math. Ann. 338 : 347 – 383 .
  • Maruyama , M. , Yokogawa , K. ( 1992 ). Moduli of parabolic stable sheaves . Math. Ann. 293 : 77 – 99 .
  • Seshadri , C. S. ( 1977 ). Moduli of vector bundles on curves with parabolic structures . Bull. Amer. Math. Soc. 83 : 124 – 126 .
  • Taher , C. H. ( 2010 ). Calculating the parabolic Chern character of a locally abelian parabolic bundle . Manuscr. Math. 132 : 169 – 198 .
  • Yokogawa , K. ( 1995 ). Infinitesimal deformations of parabolic Higgs sheaves . Int. Jour. Math. 6 : 125 – 148 .
  • Communicated by C. Pedrini.

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