# Cohomology of desingularization of moduli space of vector bundles

Compositio Mathematica (1989)

- Volume: 69, Issue: 3, page 309-339
- ISSN: 0010-437X

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topNitsure, Nitin. "Cohomology of desingularization of moduli space of vector bundles." Compositio Mathematica 69.3 (1989): 309-339. <http://eudml.org/doc/89951>.

@article{Nitsure1989,

author = {Nitsure, Nitin},

journal = {Compositio Mathematica},

keywords = {unirationality; third cohomology group of desingularization; moduli space of semistable vector bundles; non-rationality},

language = {eng},

number = {3},

pages = {309-339},

publisher = {Kluwer Academic Publishers},

title = {Cohomology of desingularization of moduli space of vector bundles},

url = {http://eudml.org/doc/89951},

volume = {69},

year = {1989},

}

TY - JOUR

AU - Nitsure, Nitin

TI - Cohomology of desingularization of moduli space of vector bundles

JO - Compositio Mathematica

PY - 1989

PB - Kluwer Academic Publishers

VL - 69

IS - 3

SP - 309

EP - 339

LA - eng

KW - unirationality; third cohomology group of desingularization; moduli space of semistable vector bundles; non-rationality

UR - http://eudml.org/doc/89951

ER -

## References

top- 1 M. Artin and D. Mumford: Some elementary examples of unirational varieties which are non-rational. Proc. London Math. Soc.25 (1972) 75-92. Zbl0244.14017MR321934
- 2 M.F. Atiyah and R. Bott: The Yang-Mills equations over Riemann surfaces. Phil. Trans. R. Soc. Lond. A308 (1982) 523-615. Zbl0509.14014MR702806
- 3 M.S. Narasimhan and S. Ramanan: Moduli of vector bundles on a compact Riemann surface. Ann of Math.89 (1969) 19-51. Zbl0186.54902MR242185
- 4 M.S. Narasimhan and S. Ramanan: Deformations of the moduli space of vector bundles over an algebraic curve. Ann. of Math.101 (1975) 391-417. Zbl0314.14004MR384797
- 5 M.S. Narasimhan and S. Ramanan: Geometry of Hecke cycles-I. In: C.P. Ramanujam -A Tribute. Studies in Mathematics, No. 8. TIFR, Bombay (1978). Zbl0427.14002MR541029
- 6 N. Nitsure: Topology of conic bundles. J. London Math. Soc. (2) 35 (1987) 18-28. Zbl0668.14013MR871762
- 7 E.H. Spanier: The homology of Kummer manifolds. Proc. Amer. Math. Soc.7 (1956) 155-160. Zbl0070.18105MR87188

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