Principal polarizations of Prym-Tjurin varieties

V. Kanev

Compositio Mathematica (1987)

  • Volume: 64, Issue: 3, page 243-270
  • ISSN: 0010-437X

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Kanev, V.. "Principal polarizations of Prym-Tjurin varieties." Compositio Mathematica 64.3 (1987): 243-270. <http://eudml.org/doc/89876>.

@article{Kanev1987,
author = {Kanev, V.},
journal = {Compositio Mathematica},
keywords = {jacobian variety; theta divisor; Prym-Tjurin varieties; intermediate Jacobians; threefolds; principally polarized abelian variety},
language = {eng},
number = {3},
pages = {243-270},
publisher = {Martinus Nijhoff Publishers},
title = {Principal polarizations of Prym-Tjurin varieties},
url = {http://eudml.org/doc/89876},
volume = {64},
year = {1987},
}

TY - JOUR
AU - Kanev, V.
TI - Principal polarizations of Prym-Tjurin varieties
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 64
IS - 3
SP - 243
EP - 270
LA - eng
KW - jacobian variety; theta divisor; Prym-Tjurin varieties; intermediate Jacobians; threefolds; principally polarized abelian variety
UR - http://eudml.org/doc/89876
ER -

References

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  1. 1 E. Arbarello, M. Cornalba, P.A. Griffiths and J. Harris: Geometry of Algebraic Curves Vol. I. Grundlehren der mathematischen Wissenschaften267. Springer, New York, Berlin, Heidelberg, Tokyo (1985). Zbl0559.14017MR770932
  2. 2 A. Beauville: Sous-variétés spéciales des variétés de Prym. Compositio Math.45 (1982) 357-384. Zbl0504.14022MR656611
  3. 3 S. Bloch and J.P. Murre: On the Chow group of certain types of Fano threefolds. Composito Math.39 (1979) 47-105. Zbl0426.14018MR539001
  4. 4 C.H. Clemens and P.A. Griffiths: The intermediate Jacobian of the cubic threefold. Ann. Math.95 (1972) 281-356. Zbl0214.48302MR302652
  5. 5 R. Donagi: The tetragonal construction. Bull. Amer. Math. Soc. (N.S.) 4 (1981) 181-185. Zbl0491.14016MR598683
  6. 6 V. Kanev: Theta divisors of generalized Prym varieties I. Lect. Notes Math.1124. Springer (1985) 166-215. Zbl0575.14037MR805335
  7. 7 V. Kanev: Intermediate Jacobians and Chow groups of threefolds with a pencil of Del Pezzo surfaces. To appear. Zbl0708.14030
  8. 8 G. Kempf: On the geometry of a theorem of Riemann. Ann. Math.98 (1973) 178-185. Zbl0275.14023MR349687
  9. 9 S. Lang: Abelian varieties. Interscience, New York (1959). Zbl0098.13201MR106225
  10. 10 D. Mumford: Abelian varieties. Oxford University Press, Bombay (1970). Zbl0223.14022MR282985
  11. 11 P. Puts: On some Fano threefolds that are sections of Grassmanians. Nederl. Akad. Wetensch. Proc. A85 (1982) 77-90. Zbl0494.14015MR653456
  12. 12 S. Recillas: Jacobians of curves with g14's are the Prym's of triagonal curves. Bol. de la Soc. Mat. Mexicana19, 1 (1974). Zbl0343.14012
  13. 13 A. Tjurin: Five lectures on three-dimensional varieties (in Russian). Uspehi Mat. Nauk29, 5 (1972) 3-50. Zbl0263.14012MR412196
  14. 14 L. Masiewicki: Universal properties of Prym varieties with an application to algebraic curves of genus five. Trans. AMS222 (1976) 221-240. Zbl0333.14012MR422289
  15. 15 T. Mstsusaka: On a characterization of a jacobian variety. Mem. Coll. of Sci. Kyoto, Ser. A, 32 (1959) 1-19. Zbl0094.34103MR108497
  16. 16 G. Welters: Curves of twice the minimal class on principally polarized abelian varieties. Preprint (1986). Zbl0644.14014MR883371

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