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Classification of vector bundles of rank 2 on hyperelliptic curves. (English) Zbl 0323.14012


MSC:

14J10 Families, moduli, classification: algebraic theory
14D20 Algebraic moduli problems, moduli of vector bundles
14K30 Picard schemes, higher Jacobians
14C22 Picard groups
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References:

[1] Dalalyan, C. P.: Prym manifolds of unramified two sheeted coverings of hyperelliptic curves Uspekhi Math. Nauk. CCCP29(6), 165-166
[2] Giraud, J.: Dix exposes sur la cohomologie des schemas. Amsterdam: North-Holland 1968
[3] Grothendieck, A.: Le groupe de Brauer I, seminaire Bourbaki. 1964-1965, no. 290
[4] Kutz, R.E.: Cohen-Macaulay rings and ideal theory in rings of invariants of algebraic groups, Transactions of the American Math. Soc.194, pp. 115-129 (1974) · Zbl 0288.13004 · doi:10.1090/S0002-9947-1974-0352082-2
[5] Mumford, D.: Lectures on curves on an algebraic surface. Princeton University Press (1966) · Zbl 0187.42701
[6] Narasimhan, M.S., Ramanan, S.: Prym varieties as fixed points. Journal of Ind. Math. Soc. (1975). pp. 1-19 · Zbl 0422.14018
[7] Narasimhan, M.S., Ramanan, S.: Moduli of vector bundles on a compact Riemann surface. Annals of Maths.89, No. 1, 19-51 (1969) · Zbl 0186.54902 · doi:10.2307/1970807
[8] Newstead, P.E.: Stable bundles of rank 2 and odd degree over a curve of genus 2. Topology.7, pp. 205-215 (1968) · Zbl 0174.52901 · doi:10.1016/0040-9383(68)90001-3
[9] Ramanan, S.: The moduli spaces of vector bundles over an algebraic curve. Math. Annalen200. 69-84 (1973) · doi:10.1007/BF01578292
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