The fibre of the Prym map in genus four

Laura Hidalgo-Solís; Sevin Recillas-Pishmish

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 1, page 219-229
  • ISSN: 0392-4041

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Hidalgo-Solís, Laura, and Recillas-Pishmish, Sevin. "The fibre of the Prym map in genus four." Bollettino dell'Unione Matematica Italiana 2-B.1 (1999): 219-229. <http://eudml.org/doc/196123>.

@article{Hidalgo1999,
author = {Hidalgo-Solís, Laura, Recillas-Pishmish, Sevin},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Prym varieties; Jacobians; Schottky problem},
language = {eng},
month = {2},
number = {1},
pages = {219-229},
publisher = {Unione Matematica Italiana},
title = {The fibre of the Prym map in genus four},
url = {http://eudml.org/doc/196123},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Hidalgo-Solís, Laura
AU - Recillas-Pishmish, Sevin
TI - The fibre of the Prym map in genus four
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/2//
PB - Unione Matematica Italiana
VL - 2-B
IS - 1
SP - 219
EP - 229
LA - eng
KW - Prym varieties; Jacobians; Schottky problem
UR - http://eudml.org/doc/196123
ER -

References

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  2. BEAUVILLE, A., Variétés de Prym et Jacobiennes intermédiares, Ann. Sci. École Norm. Sup., 10 (1977), 309-391. Zbl0368.14018MR472843
  3. DEL CENTINA, A.- RECILLAS, S., On a property of the Kummer variety and a relation between two moduli spaces of curves, in Algebraic Geometry and Complex Analysis, Proceedings, Lect. Notes in Math., 1414, Springer-Verlag (1989), 28-50. Zbl0722.14012
  4. DELIGNE, P.- MUMFORD, D., The irreducibility of the space of curves of a given genus, Publ. Math. I.H.E.S., 36 (1969), 75-109. Zbl0181.48803MR262240
  5. DONAGI, R., The fibers of the Prym map, Cont. Math., Amer. Math. Soc., 136 (1992). Zbl0783.14025MR1188194
  6. DONAGI, R.- SMITH, R. C., The structure of the Prym map, Acta Math., 146 (1982), 25-102. Zbl0538.14019MR594627
  7. FAY, J., Theta Functions on Riemann Surfaces, Lecture Notes, 352, Springer-Verlag (1973). Zbl0281.30013MR335789
  8. FRIEDMAN, R.- SMITH, R., The generic Torelli theorem for the Prym map, Invent. Math., 74 (1982), 473-490. Zbl0506.14042MR664116
  9. KLEIMAN, S., Algebraic Cycles and the Weil Conjectures, Advanced Studies in Pure Mathematics, North-Holland, 3, Amsterdam (1968). Zbl0198.25902MR292838
  10. HARTSHORNE, R., Algebraic Geometry, Springer-Verlag, New York (1977). Zbl0367.14001MR463157
  11. MASIEWICKI, L., Universal properties of Prym varieties with an aplication to algebraic curves of genus five, Trans. Amer. Math. Soc, 222 (1976), 221-240. Zbl0333.14012MR422289
  12. MUMFORD, D., Prym Varietes - I, Contributions to Analysis, Academic Press, New York (1974). Zbl0299.14018MR379510
  13. MUMFORD, D.- FOGARTY, J.- KIRWAN, F., Geometric Invariant Theory, third edition, Springer-Verlag, Heidelberg (1994). Zbl0504.14008MR1304906
  14. MUÑOZ-PORRAS, J. M., Characterization of the Jacobian varieties in arbitrary characteristic, Comp. Math, 61 (1987), 369-381. Zbl0624.14020MR883489
  15. POPP, H., Moduli theory and classification theory of algebraic varieties, Lecture Notes in Math., 620, Spinger-Verlag, Berlin-Heidelberg-New York (1977). Zbl0359.14005MR466143
  16. S., RECILLAS, Jacobians of curves with g 1 4 's are Prym's varietes of trigonal curves, Bol. Soc. Mat. Mexicana, 19 (1974), 9-13. Zbl0343.14012MR480505
  17. RECILLAS, S., Symmetric Cubic Surfaces and Curves of Genus 3 and 4, Boll. Un. Mat. (7), 7-B (1993), 787-819. Zbl0818.14005MR1255648
  18. VERRA, A., The Fibre of the Prym map in genus three, Math. Ann., 276 (1987), 433-448. Zbl0588.14024MR875339
  19. WELTERS, G., Curves of twice the minimal class on principally polarized abelian variety, Nederl. Akad. Wetensh. Proc. Ser. A., 90 (1987), 87-109. Zbl0644.14014MR883371

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