Moduli of endomorphisms of semistable vector bundles over a compact Riemann surface
Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 1-12

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Mumford and Suominen in [8] and Newstead in [11] have considered the moduli problem of classifying the endomorphisms of finite-dimensional vector spaces. Using similar ideas we consider the moduli problem for endomorphisms of indecomposable semistable vector bundles over a compact connected Riemann surface of genus g ≥ 2.
Paz, L. Brambila. Moduli of endomorphisms of semistable vector bundles over a compact Riemann surface. Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 1-12. doi: 10.1017/S0017089500009010
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[1] 1.Atiyah, M. F., Complex analytic connections in fibre bundles, Trans, Amer. Math. Soc. 85 (1957), 181–207. Google Scholar

[2] 2.Brambila, L., Endomorphisms of vector bundles over a compact Riemann surface: 2-dimensional case, in Several complex variables (Pitman, 1985), 90–95. Google Scholar

[3] 3.Brambila, L., Algebras of endomorphisms of semistable vector bundles over a compact Riemann surface, Reportes de investigación 1986, Universidad Autónoma Metropolitana Mexico. Google Scholar

[4] 4.Brambila, L., Existence of universal extensions, preprint. Google Scholar

[5] 5.Harder, G. and Narasimhan, M. S., On the cohomology group of moduli space of vector bundles on curves, Math. Ann. 212 (1975), 215–248. Google Scholar | DOI

[6] 6.Harstshorne, R., Algebraic geometry, (Springer Verlag, 1977). Google Scholar | DOI

[7] 7.Lange, H., Universal families of extensions, J. Algebra 83 (1983), 101–112. Google Scholar | DOI

[8] 8.Mumford, D. and Suominen, K., Introduction to the theory of moduli, 5th Nordic Summer School in Math. Algebraic Geometry, Oslo, 1970. Google Scholar

[9] 9.Narasimham, M. S. and Ramanan, S., Moduli of vector bundles on a compact Riemann surface, Ann. of Math. (2) 89 (1969), 14–51. Google Scholar | DOI

[10] 10.Narasimhan, M. S. and Seshadri, C. S., Holomorphic vector bundles on a compact Riemann surface, Math. Ann. 155 (1964), 69–80. Google Scholar

[11] 11.Newstead, P. E., Lectures on introduction to moduli problems and orbit space (Tata Institute of Fundamental Research, Bombay, 1978). Google Scholar

[12] 12.Ramanan, S., Moduli of vector bundles over an algebraic curve, Math. Ann. 200 (1973), 69–84. Google Scholar

[13] 13.Shatz, S. S., The decomposition and specialization of algebra families of vector bundles. Compositio Math. 35 (1977), 163–187. Google Scholar

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