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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Universal properties of Prym varieties with an application to algebraic curves of genus five
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by Leon Masiewicki PDF
Trans. Amer. Math. Soc. 222 (1976), 221-240 Request permission

Abstract:

It is proved that every morphism of a curve with an involution into an Abelian variety, anticommuting with the involution, factors through the associated Prym variety. This result is used to show that Jacobians of curves of genus five arise as Prym varieties associated to a certain class of curves.
References
  • A. Andreotti and A. L. Mayer, On period relations for abelian integrals on algebraic curves, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 21 (1967), 189–238. MR 220740
  • C. Herbert Clemens and Phillip A. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math. (2) 95 (1972), 281–356. MR 302652, DOI 10.2307/1970801
    • F. Enriques, Teoria geometrica delle equazioni. H. Farkas, Automorphisms of compact Riemann surfaces, Ann. of Math. Studies, no. 79, Princeton Univ. Press, Princeton, N. J.
  • Harry E. Rauch and Hershel M. Farkas, Theta functions with applications to Riemann surfaces, Williams & Wilkins Co., Baltimore, Md., 1974. MR 0352108
  • W. V. D. Hodge and D. Pedoe, Methods of Algebraic Geometry. Vol. I, Cambridge, at the University Press; New York, The Macmillan Company, 1947. MR 0028055
    • G. Kempf, Schubert manifolds with an application to algebraic curves, Stichting Math. Centrum, Amsterdam, 1971.
  • David Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, vol. 5, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1970. MR 0282985
  • David Mumford, Prym varieties. I, Contributions to analysis (a collection of papers dedicated to Lipman Bers), Academic Press, New York, 1974, pp. 325–350. MR 0379510
  • David Mumford, Theta characteristics of an algebraic curve, Ann. Sci. École Norm. Sup. (4) 4 (1971), 181–192. MR 292836, DOI 10.24033/asens.1209
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 222 (1976), 221-240
  • MSC: Primary 14K30; Secondary 14H40, 14H30
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0422289-6
  • MathSciNet review: 0422289