Singularities and Kodaira dimension of the moduli space of flat Hermitian-Yang-Mills connections

Alan Michael Nadel

Compositio Mathematica (1988)

  • Volume: 67, Issue: 2, page 121-128
  • ISSN: 0010-437X

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Nadel, Alan Michael. "Singularities and Kodaira dimension of the moduli space of flat Hermitian-Yang-Mills connections." Compositio Mathematica 67.2 (1988): 121-128. <http://eudml.org/doc/89912>.

@article{Nadel1988,
author = {Nadel, Alan Michael},
journal = {Compositio Mathematica},
keywords = {moduli space of flat Hermitian-Yang-Mills connections over compact Kähler manifolds; moduli space of stable holomorphic vector bundles; deformation; Kodaira dimension},
language = {eng},
number = {2},
pages = {121-128},
publisher = {Kluwer Academic Publishers},
title = {Singularities and Kodaira dimension of the moduli space of flat Hermitian-Yang-Mills connections},
url = {http://eudml.org/doc/89912},
volume = {67},
year = {1988},
}

TY - JOUR
AU - Nadel, Alan Michael
TI - Singularities and Kodaira dimension of the moduli space of flat Hermitian-Yang-Mills connections
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 67
IS - 2
SP - 121
EP - 128
LA - eng
KW - moduli space of flat Hermitian-Yang-Mills connections over compact Kähler manifolds; moduli space of stable holomorphic vector bundles; deformation; Kodaira dimension
UR - http://eudml.org/doc/89912
ER -

References

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  4. [Gie] D. Gieseker: On the moduli of vector bundles on an algebraic surface, Ann. Math.106 (1977) 45-60. Zbl0381.14003MR466475
  5. [Gri] P.A. Griffiths: Holomorphic mappings into cannonical algebraic varieties, Ann. of Math.93 (1971) 439-458. Zbl0214.48601MR281954
  6. [Gro] A. Grothendieck: Techniques de construction et théorèmes d'existence en géométrie algébrique IV: Les schémes de Hilbert, Sem. Bourbaki 1960/1961, Exposé 221. Zbl0236.14003
  7. [Kie] P. Kiernan: Meromorphic mappings into complex spaces of general type, Proc. Symp. in Pure Math. Vol. XXX, part 2, A.M.S., pp. 239-244. Zbl0358.32024MR447639
  8. [Kur] M. Kuranishi: New proof of existence of locally complete families of complex structures, Proceedings of the Conference on Complex Analysis, Minneapolis, 1964, Springer-Velag, Berlin (1965) pp. 142-154. Zbl0144.21102MR176496
  9. [L-O] M. Lübke and C. Okonek: Moduli spaces of simple bundles and Hermitian-Einstein connections, Math Ann.276 (1987) 663-674. Zbl0609.53009MR879544
  10. [Ma1] M. Maruyama: Moduli of stable sheaves, I and II, J. Math. Kyoto Univ.17 (1977) and 18 (1978). Zbl0395.14006MR450271
  11. [Ma2] M. Maruyama: Openness of a family of torsion free sheaves, J. Math. Kyoto Univ.16 (1976) 627-637. Zbl0404.14004MR429899
  12. [N-S] M.S. Narasimhan and C.S. Sheshadre: Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math.82 (1965) 540-567. Zbl0171.04803MR184252
  13. [Nor] A. Norton: Analytic moduli of complex vector bundles, Indiana Univ. Math. J.28 (1979) 365-387. Zbl0385.32018MR529671
  14. [Siu] Y.-T. Siu:Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems, J. Diff. Geom.17 (1982) 55-138. Zbl0497.32025MR658472
  15. [Sun] D. Sundararaman: Moduli, deformations, and classifications of compact complex manifolds, Research Notes in Math. 45, Pitman Advanced Publishing Program (1980). Zbl0435.32015MR596819
  16. [U-Y] K.K. Uhlenbeck and S.-T. Yau: On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure and Appl. Math. 39-S(1986) 257-293. Zbl0615.58045MR861491

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