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Harder, G.; Narasimhan, M. S.

On the cohomology groups of moduli spaces of vector bundles on curves. (English) Zbl 0324.14006

Math. Ann. 212, 215-248 (1975).
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Cited in 14 Reviews
Cited in 171 Documents

MSC:

14H10 Families, moduli of curves (algebraic)
14D20 Algebraic moduli problems, moduli of vector bundles
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
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\textit{G. Harder} and \textit{M. S. Narasimhan}, Math. Ann. 212, 215--248 (1975; Zbl 0324.14006)
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References:

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[2] Artin, M., Grothendieck, A., Verdier, J.L.: Theorie des topos et cohomologie étale des schémas, (SGA4), Tom 3. Lecture Notes in Mathematics, No. 305, Berlin-Heidelberg-New York: Springer 1973
[3] Bourbaki, N.: Eléments de mathématiques, Integration, LivreVI. Paris: Hermann 1969
[4] Deligne, P.: La conjecture de Weil I. Publ. Math. IHES, No. 43, Paris: Presses Universitaires de France 1974 · Zbl 0314.14007
[5] Giraud, J.,et al.: Dix exposés sur la cohomologie des schémas. Amsterdam: North-Holland Publ. Co. 1968
[6] Grothendieck, A.: Géométrie formelle et géométrie algébrique. Seminaire Bourbaki, t11, (1958/59), No. 182
[7] Grothendieck, A.: Formule de Lefschetz et rationalité de fonctionsL. Séminaire Bourbaki (1964-65), No. 279
[8] Harder, G.: Minkowskische Reduktionstheorie über Funktionenkörpern. Invent. math.7, 33-54 (1969) · Zbl 0242.20046
[9] Harder, G.: Eine Bemerkung zu einer Arbeit von P. E. Newstead. Jour. für Math.242, 16-25 (1970) · Zbl 0219.14016
[10] Mumford, D.: Geometric invariant theory. Ergebnisse der Mathematik. Berlin-Heidelberg-New York: Springer 1965 · Zbl 0147.39304
[11] Narasimhan, M.S., Ramanan, S.: Deformations of moduli spaces of Vector bundles on curves (to appear in Ann. of Math.) · Zbl 0314.14004
[12] Narasimhan, M.S., Ramanan, S.: Generalized Prym varieties as fixed points (to appear in Jour. Ind. Math. Society) · Zbl 0422.14018
[13] Narasimhan, M.S., Seshadri, C.S.: Stable and unitary vector bundles on a compact Riemann surface. Ann. of Math.82, 540-567 (1965) · Zbl 0171.04803
[14] Serre, J.P.: Groups algébriques et Corps de classes. Paris: Hermann 1959 · Zbl 0097.35604
[15] Serre, J.P.: Corps locaux. Paris: Hermann 1968 · Zbl 0200.00002
[16] Serre, J.P.: Cohomologie galoisiénne. Springer Lecture Notes 5, Berlin-Göttingen-Heidelberg: Springer 1964
[17] Seshadri, C.S.: Space of unitary vector bundles on a compact Riemann surface. Ann. of Math.85, 303-336 (1967) · Zbl 0173.23001
[18] Seshadri, C.S.: Quotient spaces modulo reductive algebraic groups. Ann. of Math.95, 511-556 (1972) · Zbl 0241.14024
[19] Weil, A.: Adeles and algebraic groups. Lecture Notes. Princeton: 1961
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