|
Principal bundles with parabolic structure
Author(s):
V.
Balaji;
I.
Biswas;
D.
S.
Nagaraj
Journal:
Electron. Res. Announc. Amer. Math. Soc.
7
(2001),
37-44.
MSC (2000):
Primary 14F05;
Secondary 32L05
Posted:
April 24, 2001
Retrieve article in:
PDF DVI PostScript
Abstract |
References |
Similar articles |
Additional information
Abstract:
We define a principal bundle analog of vector bundles with parabolic structure over a normal crossing divisor. Various results on parabolic vector bundles and usual principal bundles are extended to the context of parabolic principal bundles.
References:
-
- 1.
- V. Balaji, I. Biswas and D. S. Nagaraj, Principal bundles over projective manifolds with parabolic structure over a divisor, Tohoku Math. J. (to appear).
- 2.
- V. Balaji, I. Biswas and D. S. Nagaraj, in preparation.
- 3.
- I. Biswas, Parabolic ample bundles, Math. Ann. 307 (1997), 511-529. MR 98e:14041
- 4.
- I. Biswas, Parabolic bundles as orbifold bundles, Duke Math. J. 88 (1997), 305-325. MR 98m:14045
- 5.
- I. Biswas, Chern classes for parabolic bundles, J. Math. Kyoto Univ. 37 (1997), 597-613. MR 99k:14068
- 6.
- P. Deligne and J. Milne, Tannakian Categories, ``Hodge Cycles, Motives and Shimura Varieties'', Springer Lect. Notes Math. 900 (1989), 101-228. MR 84m:14046
- 7.
- Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, Adv. Stud. Pure Math. 10 (1987), 283-360. MR 89e:14015
- 8.
- V. Mehta and C. S. Seshadri, Moduli of vector bundles on curves with parabolic structure, Math. Ann. 248 (1980), 205-239. MR 81i:14010
- 9.
- M. Maruyama and K. Yokogawa, Moduli of parabolic stable sheaves, Math. Ann. 293 (1992), 77-99. MR 93d:14022
- 10.
- M. V. Nori, On the representations of the fundamental group, Comp. Math. 33 (1976), 29-41. MR 54:5237
- 11.
- M. V. Nori, The fundamental group scheme, Proc. Indian Acad. Sci. Math. Sci. 91 (1982), 73-122. MR 85g:14019
- 12.
- S. Ramanan and A. Ramanathan, Some remarks on the instability flag, Tôhoku Math. J. 36 (1984), 269-291. MR 85j:14017
- 13.
- K. Yokogawa, Infinitesimal deformations of parabolic Higgs sheaves, Int. J. Math. 6 (1995), 125-148. MR 95k:14029
Similar Articles:
Retrieve articles in Electronic Research Announcements
with MSC
(2000):
14F05,
32L05
Retrieve articles in all Journals with MSC
(2000):
14F05,
32L05
Additional Information:
V.
Balaji
Affiliation:
Institute of Mathematical Sciences, C.I.T. Campus, Taramani Chennai 600113, India
Email:
vbalaji@imsc.ernet.in
I.
Biswas
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
Email:
indranil@math.tifr.res.in
D.
S.
Nagaraj
Affiliation:
Institute of Mathematical Sciences, C.I.T. Campus, Taramani Chennai 600113, India
Email:
dsn@imsc.ernet.in
DOI:
10.1090/S1079-6762-01-00092-0
PII:
S 1079-6762(01)00092-0
Received by editor(s):
February 1, 2001
Posted:
April 24, 2001
Communicated by:
Frances C. Kirwan
Copyright of article:
Copyright
2001,
American Mathematical Society
|