References
Altman, A., Kleiman, S.: Compactifying the Picard scheme. Adv. Math.35, 50–112 (1980)
Bhosle, U.N.: Parabolic vector bundles on curves. Ark. Mat.27, 15–22 (1989)
Gieseker, D.: On the moduli of vector bundles on an algebraic surface. Ann. Math.106, 45–60 (1977)
Grothendieck, A., Dieudonné, J.: Élements de géométrie algébrique, chaps, I, II, III, IV. Publ. Math., Inst. Hautes Étud. Sci.4, 8, 11, 17, 20, 24, 28, 32 (1960–1967)
Grothendieck, A.: Techniquis de construction et théorèmes d'existence en géométrie algébrique. IV. Les schémas de Hilbert. Semin. Bourbaki13 (no 221) (1960/61)
Hitchin, N.J.: The self-duality equations on a Riemann surface. Proc. Lond. Math. Soc., III. Ser.55, 59–126 (1987)
Hitchin, N.J.: Stable bundles and integrable systems. Duke Math. J.54, 91–114 (1987)
Maruyama, M.: Moduli of stable sheaves. I. J. Math. Kyoto Univ.17, 91–126 (1977)
Maruyama, M.: Moduli of stable sheaves. II. J. Math. Kyoto Univ.18, 557–614 (1978)
Maruyama, M.: On boundedness of families of torsion free sheaves. J. Math. Kyoto Univ.21, 673–701 (1981)
Maruyama, M.: Openness of a family of torsion free sheaves. J. Math. Kyoto Univ.16, 627–637 (1976)
Mehta, V.B., Ramanathan, A.: Semistable sheaves on projective varieties and their restriction to curves. Math. Ann.258, 213–224 (1982)
Mehta, V.B., Seshadri, C.S.: Moduli of vector bundles on curves with parabolic structure. Math. Ann.248, 205–239 (1980)
Mumford, D.: Geometric invariant theory. Berlin Heidelberg New York: Springer 1965
Mumford, D.: Lectures on curves on an algebraic surface (Ann. Math. Stud., vol. 59). Princeton: Princeton University Press 1966
Narasimhan, M.S., Seshadri, C.S.: Stable and unitary vector bundles on a compact Riemann surface. Ann. Math.82, 540–567 (1965)
Nitsure, N.: Moduli spaces for stable pairs on a curve. (Preprint 1988)
Seshadri, C.S.: Geometric reductivity over arbitrary base. Adv. Math.26, 225–274 (1977)
Seshadri, C.S.: Moduli of vector bundles on curves with parabolic structures. Bull. Am. Math. Soc.83, 124–126 (1977)
Seshadri, C.S.: Fibrés vectoriels sur les courbes algébriques. Astérisque96 (1982)
Shatz, S.: The decomposition and specialization of algebraic families of vector bundles. Compos. Math.35, 163–187 (1977)
Simpson, C.T.: Moduli of representations of the fundamental group of a smooth projective variety. Princeton University (Preprint)
Yokogawa, K.: Moduli of stable pairs. J. Math. Kyoto Univ. (to appear)
Yokogawa, K.: A compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves (forthcoming)
Author information
Authors and Affiliations
Additional information
Dedicated to Professor Heisuke Hironaka on his sixtieth birthday
Rights and permissions
About this article
Cite this article
Maruyama, M., Yokogawa, K. Moduli of parabolic stable sheaves. Math. Ann. 293, 77–99 (1992). https://doi.org/10.1007/BF01444704
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01444704