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Le théorème de Torelli pour les intersections de trois quadriques

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Références

  • [ACGH] Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of algebraic curves. I. Berlin-Heidelberg-New York: Springer, 1985

    Google Scholar 

  • [B1] Beauville, A.: Prym varieties and the Schottky problem. Invent. Math.41, 149–196 (1977)

    Google Scholar 

  • [B2] Beauville, A.: Variétés de Prym et jacobiennes intermédiaires. Ann. Sc. Ec. Norm. Super., IV. Ser.10, 309–391 (1977)

    Google Scholar 

  • [B3] Beauville, A.: Sous-variétés spéciales des variétés de Prym. Math.45, 357–383 (1982)

    Google Scholar 

  • [Be] Bertram, A.: An existence theorem for Prym special divisors. Invent. Math.90, 669–671 (1987)

    Google Scholar 

  • [D1] Debarre, O.: Sur le théorème de Torelli pour les variétés de Prym. Am. J. Math.110, (1988)

  • [D2] Debarre, O.: Sur les variétés de Prym des courbes tétragonales. Ann. Sc. Ec. Norm. Super., IV. Ser.21, (1988)

  • [D3] Debarre, O.: Sur les variétés abéliennes dont le diviseur thêta est singulier en codimension 3. Duke Math. J.56, 221–273 (1988)

    Google Scholar 

  • [Di] Dixon, A.: Notes on the reduction of a ternary quartic to a symmetrical determinant. Proc. Camb. Phil. Soc.11, 350–351 (1902)

    Google Scholar 

  • [Do] Donagi, R.: The tetragonal construction. Bull. Am. Math. Soc.4, 181–185 (1981)

    Google Scholar 

  • [F-S1] Friedman, R., Smith, R.: The generic Torelli theorem for the Prym map. Invent. Math.67, 473–490

  • [F-S2] Friedman, R., Smith, R.: Degenerations of Prym varieties and intersections of three quadrics. Invent. Math.85, 615–635 (1986)

    Google Scholar 

  • [H] Harris, J.: Theta-characteristics on algebraic curves. Trans. Am. Math. Soc.271, 611–638 (1982)

    Google Scholar 

  • [K] Kanev, V.: The global Torelli theorem for Prym varieties at a generic point. Math. USSR Izv.20, 235–258 (1983)

    Google Scholar 

  • [M] Martens, H.: An extended Torelli theorem. Am. J. Math.87, 257–260 (1965)

    Google Scholar 

  • [Mu1] Mumford, D.: Prym Varieties I. Contributions to analysis pp. 325–350. New York: Acad. Press

  • [Mu2] Mumford, D.: Theta characteristics of an algebraic curve. Ann. Sci. Ec. Norm. Super., IV. Ser.4, 181–192 (1971)

    Google Scholar 

  • [R] Ran, Z.: On a theorem of Martens. Rend. Sem. Mat. Univ. Politec. Torino44, 287–291 (1986)

    Google Scholar 

  • [T] Tjurin, A.N.: On the intersection of quadrics. Russ. Math. Surv.30, 51–105 (1975)

    Google Scholar 

  • [W] Welters, G.: Recovering the curve data from a general Prym variety. Am. J. Math.109, 165–182 (1987)

    Google Scholar 

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  1. Université Paris-Sud, Bâtiment 425, F-91405, Orsay Cedex, France

    Olivier Debarre

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  1. Olivier Debarre
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Debarre, O. Le théorème de Torelli pour les intersections de trois quadriques. Invent Math 95, 507–528 (1989). https://doi.org/10.1007/BF01393887

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