References
Altman, A. &Kleiman, S., Compactifying the Picard Scheme. Part I to appear inAdvances in Math., part II inAmer. J. Math., 101 (1979), 10–41.
Andreotti, A. &Mayer, A., On period relations for abelian integrals on algebraic curves.Ann. Scuola Norm. Sup. Pisa, 21 (1967) 189–238.
Beauville, A., Prym varieties and the Schottky problem.Invent. Math., 41 (1977), 149–196.
—, Variétés de Prym et Jacobiennes intermédiares,Ann. Sci. École Norm. Sup., 10 (1977), 309–391.
Clemens, C. H.,Double solids. To appear.
Clemens, C. H. &Griffiths, P. A., The intermediate Jacobian of the cubic threefold.Ann. of Math., 95 (1972), 281–356.
Dickson, L. E.,Linear groups, Dover, New York, 1958.
Deligne, P. & Mumford, D., The irreducibility of the space of curves of given genus.Publ. Math., IHES, Paris, 36 (1969).
Donagi, R., Group law on the intersection of two quadrics.Ann. Scuola Norm. Sup. Pisa, Ser. IV., 7 (1980), 217–239.
Enriques, F. & Chisini, O.,Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche. Bologna, 1915–1924.
Fay, J.,Theta functions on Riemann surfaces, Springer Lecture Notes, 352 (1973).
Farkas, H. M., Special divisors and analytic subloci of Teichmueller space.Amer. J. Math., 88 (1966), 881–901.
Farkas, H. M. &Rauch, H., Period relations of Schottky type on Riemann surfaces.Ann. of Math., 92 (1970), 434–461.
Griffiths, P. A., Periods of integrals on algebraic manifolds, II (Local study of the period mapping).Amer. J. Math., 90 (1968), 805–865.
Griffiths, P. A. & Harris, J.,Principles of algebraic geometry. Wiley, 1978.
Griffiths, P. A. & Harris, J., Dimension of the variety of special divisors on an algebraic curve. To appear.
Hartshorne, R.,Algebraic Geometry. Springer-Verlag, New York, 1977.
Knutson, D.,Algebraic Spaces. Springer Lecture Notes in Mathematics, 203 (1971).
Kleiman, S. &Laksov, D., On the existence of special divisiors.Amer. J. Math., 94 (1972), 431–436.
Mumford, D., Theta characteristics of an algebraic curve,Ann. Sci. École Norm. Sup., 4 (1971), 181–192.
—, Prym varieties I, inContributions to Analysis. N.Y., Academic Press, 1974.
—, Stability of projective varieties,Enseignment Math., 23 (1977), 39–110.
—,Geometric invariant theory. Berlin-Göttingen-Heidelberg, Springer, 1965.
Masiewicki, L.,Prym varieties and the moduli space of curves of genus five. Ph.D. Thesis, Columbia Univ., 1974.
Popp, H.,Moduli Theory and Classification Theory of Algebraic Varieties. Springer Lecture Notes in Mathematics, 620 (1977).
Recillas, S., Jacobians of curves with ag 14 are Prym varieties of trigonal curves.Bol. Soc. Mat. Méxicana, 19 (1974), 9–13.
Smith, R.,On the degree of the Prym map in dimension five. Ph. D. Thesis, University of Utah, 1977.
Schlessinger, M., Thesis, Harvard University.
Schottky, F. &Jung, H., Neue Sätze über Symmetralfunctionen und die Abelschen Functionen der Riemannschen Theorie,S.-B. Preuss. Akad. Wiss. (Berlin), Phys. Math. Kl. 1 (1909), 282–297.
Schottky, F., Über die Moduln der Thetafunctionen.Acta. Math., 27 (1903), 235–288.
Semple, J. G. & Roth, L.,Introduction to algebraic geometry. Oxford Univ. Press, 1949.
Tjurin, A., Five lectures on three-dimensional varieties,Russian Math. Surveys, 27 (1972).
—, On the intersections of quadrics.Russian Math. Surveys, 30 (1975), 51–105.
Wirtinger, W.,Untersuchungen über Thetafunctionen, Teubner, Berlin, 1895.
Author information
Authors and Affiliations
Additional information
To Gail and Ranwa
Partially supported by NSF Grant #MCS 77-03876.
Partially supported by NSF Grant #MCS 79-03717.
Rights and permissions
About this article
Cite this article
Donagi, R., Smith, R.C. The structure of the prym map. Acta Math 146, 25–102 (1981). https://doi.org/10.1007/BF02392458
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02392458