Symplectic geometry on moduli spaces of stable pairs

Francesco Bottacin

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 4, page 391-433
  • ISSN: 0012-9593

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Bottacin, Francesco. "Symplectic geometry on moduli spaces of stable pairs." Annales scientifiques de l'École Normale Supérieure 28.4 (1995): 391-433. <http://eudml.org/doc/82388>.

@article{Bottacin1995,
author = {Bottacin, Francesco},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {symplectic structure of moduli space; Poisson structure of moduli space; moduli space of stable pairs; Higgs pairs; Hitchin map},
language = {eng},
number = {4},
pages = {391-433},
publisher = {Elsevier},
title = {Symplectic geometry on moduli spaces of stable pairs},
url = {http://eudml.org/doc/82388},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Bottacin, Francesco
TI - Symplectic geometry on moduli spaces of stable pairs
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 4
SP - 391
EP - 433
LA - eng
KW - symplectic structure of moduli space; Poisson structure of moduli space; moduli space of stable pairs; Higgs pairs; Hitchin map
UR - http://eudml.org/doc/82388
ER -

References

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  2. [B2] A. BEAUVILLE, Systèmes hamiltoniens complètement intégrables associés aux surfaces K3 (Symp. Math., Vol. 32, 1992, pp. 25-31). Zbl0827.58022MR95c:14052
  3. [BNR] A. BEAUVILLE, M. S. NARASIMHAN and S. RAMANAN, Spectral curves and the generalized theta divisor (J. Reine Angew. Math., Vol. 398, 1989, pp. 169-179). Zbl0666.14015MR91c:14040
  4. [BR] I. BISWAS and S. RAMANAN, An infinitesimal study of the moduli of Hitchin pairs (J. London Math. Soc., Vol. 49, 1994, pp. 219-231). Zbl0819.58007MR94k:14006
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  6. [Ha1] R. HARTSHORNE, Residues and Duality (Lecture Notes in Math., Vol. 20, Springer-Verlag, Heidelberg, 1966). Zbl0212.26101MR36 #5145
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  9. [M] D. MUMFORD, Abelian Varieties, Tata Institute of Fundamental Research, Bombay, Oxford University Press, 1970. Zbl0223.14022MR44 #219
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  11. [MS] V. B. MEHTA and C. S. SESHADRI, Moduli of Vector Bundles on Curves with Parabolic Structures (Math. Ann., Vol. 248, 1980, pp. 205-239). Zbl0454.14006MR81i:14010
  12. [Ne] P. E. NEWSTEAD, Introduction to Moduli Problems and Orbit Spaces, Tata Institute of Fundamental Research and Springer-Verlag, Berlin-Heidelberg-New York, 1978. Zbl0411.14003MR81k:14002
  13. [N] N. NITSURE, Moduli space of semistable pairs on a curve (Proc. London Math. Soc., Vol. 62, 1991, pp. 275-300). Zbl0733.14005MR92a:14010
  14. [S] C. S. SESHADRI, Fibrés Vectoriels sur les Courbes Algébriques (Astérisque, Vol. 96, 1982). Zbl0517.14008MR85b:14023
  15. [Si] C. SIMPSON, Moduli of representations of the fundamental group of a smooth projective variety I, II, Toulouse Prépublication, Vol. 17. 
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  17. [We] G. E. WELTERS, Polarized abelian varieties and the heat equations (Comp. Math., Vol. 49, 1983, pp. 173-194). Zbl0576.14042MR85f:14045

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