Voir la notice de l'article provenant de la source Cambridge University Press
Biswas, Indranil; Dey, Arijit. Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 44-54. doi: 10.4153/CMB-2011-109-x
@article{10_4153_CMB_2011_109_x,
author = {Biswas, Indranil and Dey, Arijit},
title = {Polystable {Parabolic} {Principal} {G-Bundles} and {Hermitian-Einstein} {Connections}},
journal = {Canadian mathematical bulletin},
pages = {44--54},
year = {2013},
volume = {56},
number = {1},
doi = {10.4153/CMB-2011-109-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-109-x/}
}
TY - JOUR AU - Biswas, Indranil AU - Dey, Arijit TI - Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections JO - Canadian mathematical bulletin PY - 2013 SP - 44 EP - 54 VL - 56 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-109-x/ DO - 10.4153/CMB-2011-109-x ID - 10_4153_CMB_2011_109_x ER -
%0 Journal Article %A Biswas, Indranil %A Dey, Arijit %T Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections %J Canadian mathematical bulletin %D 2013 %P 44-54 %V 56 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-109-x/ %R 10.4153/CMB-2011-109-x %F 10_4153_CMB_2011_109_x
[1] [1] Anchouche, B. and Biswas, I., Einstein-Hermitian connections on polystable principal bundles over a compact K¨ahler manifold. Amer. J. Math. 123 (2001), no. 2, 207–228. Google Scholar | DOI
[2] [2] Balaji, V., Biswas, I., and Nagaraj, D. S., Principal bundles over projective manifolds with parabolic structure over a divisor. Tohoku Math. J. 53 (2001), no. 3, 337–367. Google Scholar | DOI
[3] [3] Balaji, V., Biswas, I., and Nagaraj, D. S., Ramified G-bundles as parabolic bundles. J. Ramanujan Math. Soc. 18 (2003), no. 2, 123–138. Google Scholar
[4] [4] Bando, S. and Siu, Y.-T., Stable sheaves and Einstein-Hermitian metrics. In: Geometry and Analysis on Complex Manifolds.World Sci. Publishing, River Edge, NJ, 1994, pp. 39–50. Google Scholar
[5] [5] Biquard, O., Sur les fibrés paraboliques sur une surface complexe. J. Lond. Math. Soc. 53 (1996), no. 2, 302–316. Google Scholar
[6] [6] Biswas, I., Parabolic bundles as orbifold bundles. Duke Math. J. 88 (1997), no. 2, 305–325. Google Scholar | DOI
[7] [7] Biswas, I., On the principal bundles with parabolic structure. J. Math. Kyoto Univ. 43 (2003), no. 2, 305–332. Google Scholar
[8] [8] Biswas, I., Connections on a parabolic principal bundle over a curve. Canad. J. Math. 58 (2006), no. 2, 262–281. Google Scholar | DOI
[9] [9] Biswas, I., Connections on a parabolic principal bundle. II. Canad. Math. Bull. 52 (2009), no. 2, 175–185. Google Scholar | DOI
[10] [10] Li, J., Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds. Comm. Anal. Geom. 8 (2000), no. 3, 445–475. Google Scholar
[11] [11] Maruyama, M. and Yokogawa, K., Moduli of parabolic stable sheaves. Math. Ann. 293 (1992), no. 1, 77–99. Google Scholar | DOI
[12] [12] Nori, M. V., On the representations of the fundamental group. Compositio Math. 33 (1976), no. 1, 29–41. Google Scholar
[13] [13] Nori, M. V., The fundamental group-scheme. Proc. Indian Acad. Sci. Math. Sci. 91 (1982), no. 2, 73–122. Google Scholar | DOI
[14] [14] Seshadri, C. S., Moduli of vector bundles on curves with parabolic structures. Bull. Amer. Math. Soc. 83 (1977), no. 1, 124–126. Google Scholar | DOI
Cité par Sources :