Moduli of vector bundles on curves with parabolic structures

V. B. Mehta1, C. S. Seshadri1
1School of Mathematics, Tata Institute of Fundamental Research, Colaba, India

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Tài liệu tham khảo

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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