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Moduli of vector bundles on curves with parabolic structures

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References

  1. Atiyah, M.F.: Vector bundles over an elliptic curve. Proc. London Math. Soc., Third series7, 412–452 (1957)

    Google Scholar 

  2. Harder, G., Narasimhan, M.S.: On the cohomology groups of moduli spaces of vector bundles on curves. Math. Ann.212, 215–248 (1957)

    Google Scholar 

  3. Langton, S.G.: Valuative criteria for families of vector bundles on algebraic varieties. Ann. of Math.101, 88–110 (1975)

    Google Scholar 

  4. Numford, D.: Projective invariants of projective structures and applications. Proc. Intern. Cong. Math., Stockholm pp. 526–530 (1962)

  5. Mumford, D.: Geometric invariant theory. Ergebnisse der Mathematik. Berlin, Heidelberg, New York: Springer 1965

    Google Scholar 

  6. Narasimhan, M.S., Ramanan, S.: Vector bundles on curves. Proceedings of the Bombay Colloquium on Algebraic Geometry, Bombay 1968

  7. Narasimhan, M.S., Ramanan, S.: Deformations of the moduli space of vector bundles on curves. Ann. of Math.101, 391–417 (1975)

    Google Scholar 

  8. Narashimhan, M.S., Ramanan, S.: Geometry of Hecke cycles. I. In: C.P. Ramanujam: A Tribute. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  9. Narasimhan, M.S., Seshadri: C.S.: Stable and unitary vector bundles on a compact Riemann surface. Ann. of Math.82, 540–567 (1965)

    Google Scholar 

  10. Oda, T., Seshadri, C.S.: Compactification of the generalized Jacobian variety. Trans. Amer. Math. Soc. to appear

  11. Prasad, P.K.: Cohomology of Fuchsian groups. J. Ind. Math. Soc.38, 51–63 (1974)

    Google Scholar 

  12. Seshadri, C.S.: Space of unitary vector bundles on a compact Riemann surface. Ann. of Math.85, 303–336 (1967)

    Google Scholar 

  13. Seshadri, C.S.: Quotient spaces modulo reductive algebraic groups. Ann. of Math.95, 511–556 (1972)

    Google Scholar 

  14. Seshadri, C.S.: Moduli of π-vector bundles over an algebraic curve. Questions on algebraic varieties, C.I.M.E., III CICLO, pp. 141–260(1969)

  15. Seshadri, C.S.: Moduli of vector bundles with parabolic structures. Bull. Amer. Math. Soc.83, (1977)

  16. Seshadri, C.S.: Desigularization of moduli varieties of vector bundles on curves. Proceedings of the International symposium on Algebraic Geometry, Kyoto, 1977

  17. Seshadri, C.S.: Mumford's conjecture for GL(2) and applications, Proceedings of the Bombay Colloquium of algebraic geometry, pp. 343–371. Oxford: UNiversity Press 1968

    Google Scholar 

  18. Weil, A.: Generalisation des fonctions abeliennes. J. Math. Pures Appl.17, 47–87 (1938)

    Google Scholar 

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  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005, Colaba, Bombay, India

    V. B. Mehta & C. S. Seshadri

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  1. V. B. Mehta
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  2. C. S. Seshadri
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Mehta, V.B., Seshadri, C.S. Moduli of vector bundles on curves with parabolic structures. Math. Ann. 248, 205–239 (1980). https://doi.org/10.1007/BF01420526

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