Sur le théorème de Torelli pour les solides doubles quartiques

Olivier Debarre

Compositio Mathematica (1990)

  • Volume: 73, Issue: 2, page 161-187
  • ISSN: 0010-437X

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Debarre, Olivier. "Sur le théorème de Torelli pour les solides doubles quartiques." Compositio Mathematica 73.2 (1990): 161-187. <http://eudml.org/doc/90001>.

@article{Debarre1990,
author = {Debarre, Olivier},
journal = {Compositio Mathematica},
keywords = {double solid; codimension of the singular locus; theta-divisor; conic bundle; Prym variety; Torelli problem},
language = {fre},
number = {2},
pages = {161-187},
publisher = {Kluwer Academic Publishers},
title = {Sur le théorème de Torelli pour les solides doubles quartiques},
url = {http://eudml.org/doc/90001},
volume = {73},
year = {1990},
}

TY - JOUR
AU - Debarre, Olivier
TI - Sur le théorème de Torelli pour les solides doubles quartiques
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 2
SP - 161
EP - 187
LA - fre
KW - double solid; codimension of the singular locus; theta-divisor; conic bundle; Prym variety; Torelli problem
UR - http://eudml.org/doc/90001
ER -

References

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  1. [B1] A. Beauville, Variétés de Prym et jacobiennes intermédiaires. Ann. Sc. Ecole Norm. Sup.10, (1977), 309-391. Zbl0368.14018MR472843
  2. [B2] A. Beauville, Prym varieties and the Schottky problem, Invent. Math.41, (1977), 149-196. Zbl0333.14013MR572974
  3. [B3] A. Beauville, Sous-variétés spéciales des variétés de Prym, Comp. Math.45, (1982), 357-383. Zbl0504.14022MR656611
  4. [C] H. Clemens, Double solids, Adv. in Math.47, (1983), 107-230. Zbl0509.14045MR690465
  5. [C-G] H. Clemens, P. Griffiths, The Intermediate Jacobian of the Cubic Threefold, Ann. of Math.95, (1972), 281-356. Zbl0214.48302MR302652
  6. [D1] O. Debarre, Sur les variétés de Prym des courbes tétragonales, Ann. Sc. Ec. Norm. Sup.21, (1988), 545-559. Zbl0674.14034MR982333
  7. [D2] O. Debarre, Sur le problème de Torelli pour les variétés de Prym, Am. J. of Math.111, (1989), 111-134. Zbl0699.14052MR980302
  8. [D3] O. Debarre, Sur les variétés abéliennes dont le diviseur thêta est singulier en codimension 3, Duke Math. J.56, (1988), 221-273. Zbl0699.14058MR952234
  9. [D4] O. Debarre, Variétés de Prym et ensembles d'Andreotti et Mayer. A paraître. Zbl0716.14029
  10. [D5] O. Debarre, Le théorème de Torelli pour les intersections de trois quadriques, Inv. Math.95, (1989), 507-528. Zbl0705.14029MR979362
  11. [Do] R. Donagi, The tetragonal construction, Bull. Amer. Math. Soc.4, (191), 181-185. Zbl0491.14016MR598683
  12. [D-S] R. Donagi, R. Smith, The structure of the Prym map, Acta Math.146, (1981), 25-102. Zbl0538.14019MR594627
  13. [F-L] W. Fulton, R. Lazarsfeld, On the connectedness of degeneracy loci and special divisors, Acta Math. 146, (1981), 271-283. Zbl0469.14018MR611386
  14. [H] J. Harris, Theta-characteristics on algebraic curves, Trans. A.M.S. 271, (1982), 611-638. Zbl0513.14025MR654853
  15. [Ha] R. Hartshorne, Complete intersections and connectedness, Amer. J. of Math.84, (1962), 497-508. Zbl0108.16602MR142547
  16. [K] Kanev, Quadratic singularities of the Pfaffian theta divisor of a Prym variety, Math. Notes of the Ac. of Sc. of the USSR, 31, (1982), 301-305. Zbl0568.14017
  17. [M1] D. Mumford, Prym Varieties I. Contributions to Analysis, Acad. Press, New York (1974), 325-350. Zbl0299.14018MR379510
  18. [M2] D. Mumford, On the Kodaira Dimension of the Siegel Modular Variety. Springer Lecture Notes 997, Springer Verlag, New York, (1983), 348-375. Zbl0527.14036MR714757
  19. [M3] D. Mumford, Theta characteristics of an algebraic curve, Ann. Sci. Ecole Norm. Sup.4, (1971), 181-192. Zbl0216.05904MR292836
  20. [S-V] R. Smith, R. Varley, Components of the locus of singular theta divisors in genus 5. In Algebraic Geometry, Sitges 1983, Springer Lecture Notes in Mathematics 1124, Springer Verlag (1985), 338-416. Zbl0598.14036
  21. [T] A. Tikhomirov, The Abel-Jacobi map of sextics of genus three on double spaces of P3 of index two. Soviet Math. Dokl.33, (1986), 204-206. Zbl0622.14032
  22. [V] C. Voisin, Sur la jacobienne intermédiaire du double solide d'indice deux. Duke Math. J.57, (1988), 629-646. Zbl0698.14049MR962523
  23. [W1] G. Welters, Abel-Jacobi isogenies for certain types of Fano threefold. Mathematical Centre Tracts 141, Math. Centrum, Amsterdam, (1981). Zbl0474.14028MR633157
  24. [W2] G. Welters, A theorem of Gieseker-Petri type for Prym varieties. Ann. Sci. Ecole Norm. Sup.18 (1985), 671-683. Zbl0628.14036MR839690
  25. [Z] S. Zucker, Generalized Intermediate Jacobians and the Theorem on Normal Functions, Inv. Math.33, (1976), 185-222. Zbl0329.14008MR412186

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