References
[AB] M.F. Atiyah, R. Bott: The Yang-Mills equations over Riemann surfaces. Philosophical Transactions of the Royal Society of London, Series A.308, 523–615 (1983)
[BPV] W. Barth, C. Peters, A. Van de Ven: Compact complex surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete3. Folge-Band4, (1984)
[Bo] E. Bombieri: Canonical models of surfaces of general type. Publ. Math. Inst. Hautes Etud. Sci.42, 171–219 (1973)
[D] S.K. Donaldson: Polynomial invariants for smooth four-manifolds. Topology29, 257–315 (1990)
[DL] J. M. Drezet, J. Le Potier: Fibrés stables et fibrés exceptionnels sur le plan projectif. Ann. Sci. Ec. Norm. Sup. 4e série,18, 193–244 (1985)
[DN] J.M. Drezet, M.S. Narasimhan: Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques. Invent. Math.97, 53–94 (1989)
[F1] H. Flenner: Restrictions of semistable bundles on projective varieties. Comment. Math. Helv.59, 635–650 (1984)
[Fr] R. Friedman: Vector bundles on surfaces (to be published)
[G1] D. Gieseker: On the moduli of vector bundles on an algebraic surface. Ann. Math.106, 45–60 (1977)
[G2] D. Gieseker: A degeneration of the moduli space of stable bundles. J. Differ. Geom.19, 173–206 (1984)
[GL1] D. Gieseker, J. Li: Irreducibility of moduli of rank two vector bundles. (to appear in J. Diff. Geom.)
[GL2] D. Gieseker, J. Li: Moduli of vector bundles over surfaces I (Preprint)
[G] A. Grothendieck: Techniques de construction et théorèmes d'existence en géometrie algebrique IV: les schémas de Hilbert. Sém. Bourbaki221, (1960)
[HL] A. Hirschowitz, Y. Laszlo: A propos de l'existence de fibrés stables sur les surfaces (Preprint)
[I] A. Iarrobino: Punctual Hilbert schemes. Bull. Am. Math. Soc.78, 819–823 (1972)
[LP] J. Le Potier: Espaces de modules de faisceaux semi-stables sur le plan projectif (Preprint) School “Vector bundles on surfaces”-CIMI and Europroj, Nice-Sophia-Antipolis June 1993
[Li] J. Li: Algebraic geometric interpretation of Donaldson's polynomial invariants. J. Differ. Geom.37, 417–466 (1993)
[LQ] W.P. Li, Z. Qin: Stable vector bundles on algebraic surfaces (Preprint)
[Lu] D. Luna: Slices Étales. Bull. Soc. Math. France, Mémoire33, (1973)
[Ma] M. Maruyama: Moduli of stable sheaves II. J. Math. Kyoto Univ.18–3, 557–614 (1978)
[MO] J. Morgan, K.G. O'Grady: Differential topology of complex surfaces Elliptic surfaces withp g =1: smooth classification. Lecture Notes in Mathematics 1545, Springer-Verlag
[Mu] S. Mukai: On the moduli space of bundles onK3 surfaces I, Vector bundles on algebraic varieties. Tata Institute of fundamental research studies in mathematics, Oxford University Press, 1987
[O] K.G. O'Grady: The irreducible components of moduli spaces of vector bundles on surfaces. Invent. Math.112, 585–613 (1993)
[S] C. Simpson: Moduli of representations of the fundamental group of a smooth projective variety I. (Preprint)
[Zuo] K. Zuo: Generic smoothness of the moduli of rank two stable bundles over an algebraic surface. (preprint MPI/90-7)
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Oblatum IV-1994
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O'Grady, K.G. Moduli of vector bundles on projective surfaces: some basic results. Invent Math 123, 141–207 (1996). https://doi.org/10.1007/BF01232371
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DOI: https://doi.org/10.1007/BF01232371