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Sous-variétés speciales des variétés de Prym. (French) Zbl 0504.14022


MSC:

14H30 Coverings of curves, fundamental group
14F25 Classical real and complex (co)homology in algebraic geometry
14K30 Picard schemes, higher Jacobians
14H40 Jacobians, Prym varieties
14C20 Divisors, linear systems, invertible sheaves
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References:

[1] A. Andreotti et A. Mayer : On period relations for abelian integrals on algebraic curves . Ann. Scuola Norm. Sup. Pisa 21 (1967) 189-238. · Zbl 0222.14024
[2] A. Beauville : Prym varieties and the Schottky problem . Inventiones Math. 41 (1977) 149-196. · Zbl 0333.14013
[3] A. Beauville : Variétés de Prym et jacobiennes intermédiaires . Annales de l’E.N.S. 10 (1977) 304-379. · Zbl 0368.14018
[4] C. Barton et C.H. Clemens : A result on the integral Chow ring of a generic principally polarized complex abelian variety of dimension four . Compositio Math. 34 (1977) 49-67. · Zbl 0386.14004
[5] C.H. Clemens : Double solids . A paraître. · Zbl 0509.14045
[6] C.H. Clemens et P. Griffiths : The intermediate Jacobian of the cubic threefold . Ann. of Math. 95 (1972) 281-356. · Zbl 0214.48302
[7] R. Donagi : The tetragonal construction . Bull. Amer. Math. Soc. 4 (1981) 181-185. · Zbl 0491.14016
[8] V.A. Iskovskih : Fano threefolds I, II . Math. USSR Izvestija 11 (1977) 485-527; 12 (1978) 469-506. · Zbl 0424.14012
[9] D. Mumford : Prym varieties I. In Contributions to Analysis , Academic Press, New York (1974). · Zbl 0299.14018
[10] L. Masiewicki : Universal properties of Prym varieties with an application to algebraic curves of genus five . Trans. Amer. Math. Soc. 222 (1976) 221-240. · Zbl 0333.14012
[11] I.G. Macdonald : Symmetric products of an algebraic curve . Topology 1 (1962) 319-343. · Zbl 0121.38003
[12] M. Reid : The complete intersection of two or more quadrics . Cambridge Thesis (1972).
[13] S. Recillas : Jacobians of curves with g14’s are the Prym’s of trigonal curves . Bol. Soc. Mat. Mexicana 19 (1974) 9-13. · Zbl 0343.14012
[14] C. Rosati : Sugli spazi lineari di dimensione massima contenuti in una quartica base di un fascio di quadriche in un spazio a dimensione pari . Rend. Ist Lombardo 32 (1899) 1267-1273. · JFM 30.0497.03
[15] A. Tjurin : On intersection of quadrics . Russian Math. Surveys 30 (1975) 51-105. · Zbl 0339.14020
[16] A. Tjurin : Five lectures on three-dimensional varieties . Russian Math. Surveys 27 (1972) 1-53. · Zbl 0263.14012
[17] G.E. Welters : Abel-Jacobi isogenies for certain types of Fano threefolds . Mathematisch Centrum, Amsterdam (1981). · Zbl 0474.14028
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