References
[AGGH] Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of algebraic curves, I. Berlin Heidelberg New York, Springer 1985
[Ar] Artamkin, I.V.: On deformations of sheaves. Math. USSR, Izv.32 660–665, (1989)
[D] Donaldson, S.K.: Polynomial invariants for smooth four-manifolds. Topology29 257–315 (1990)
[Fr] Friedman, R.: Rank two vector bundles over regular elliptic surfaces. Invent. Math.96, 283–332 (1989)
[Gr] Grothendieck, A.: Techniques de construction et théorèmes d'existence en géomètrie algébrique IV: Les schémas de Hilbert. Sémin. Bourbaki13 No. 221 (1960/61)
[Ha] Hartshorne, R.: Algebraic goemetry. Berlin Heidelberg New York: Springer 1977
[KL] Kleiman, S.; Laksov, D.: On the existence of special divisors, Am. J. Math.94 431–436 (1972)
[L1] Lazarsfeld, R.: A Sampling of vector bundle techniques in the study of linear series. In: Cornalba, M. et al. (eds.) Lectures on Riemann surfaces, pp. 500–559. (Preprint, Teaneck, NJ: World Scientific 1989)
[L2] Lazarsfeld, R.: Brill-Noether theory without degenerations. J. Differ. Geom.23, 299–307 (1986)
[Ma] Maruyama, M.: Stable vector bundles on an algebraic surface. Nagoya Math. J.58, 25–26 (1975)
[Mc] MacLane, S.: Homology, Berlin Heidelberg New York: Springer 1963
[M1] Mukai, S.: Symplectic structure of the moduli space of sheaves on an abelian or K3 surface. Invent. Math77, 101–116 (1984)
[M2] Mukai, S.: On the moduli space of bundles on K3 surfaces. I. In: Vector bundles on algebraic varieties. International Colloq., Bombay, pp. 341–413 London: Oxford University Press 1987
[T1] Tyurin, A.N.: Cycles, curves and vector bundles on an algebraic surface. Duke Math. J.54 1–26 (1987)
[T2] Tyurin, A.N.: Symplectic structures on the varieties of moduli of vector bundles on algebraic surface withp g >0. Math. USSR. Izv.33 (no. 1), 139–177 (1989)
[Y] Ye, Y.G.: Infinitesimal Harris-Mumford problem on smooth algebraic varieties. (Preprint 1990)
[Z] Zuo, K.: Generic smoothness of the moduli space of rank two stable bundles over algebraic surfaces. Math. Z.207, 629–643 (1991)
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Ye, YG. Lagrangian subvarieties of the moduli space of stable vector bundles on a regular algebraic surface withp g >0. Math. Ann. 295, 411–425 (1993). https://doi.org/10.1007/BF01444894
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DOI: https://doi.org/10.1007/BF01444894