Cohomology of desingularization of moduli space of vector bundles

Nitin Nitsure

Compositio Mathematica (1989)

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

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Nitsure, 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

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  1. 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. 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. 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. 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. 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. 6 N. Nitsure: Topology of conic bundles. J. London Math. Soc. (2) 35 (1987) 18-28. Zbl0668.14013MR871762
  7. 7 E.H. Spanier: The homology of Kummer manifolds. Proc. Amer. Math. Soc.7 (1956) 155-160. Zbl0070.18105MR87188

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