Sur le lieu de Noether-Lefschetz en degrés 6 et 7

Claire Voisin

Compositio Mathematica (1990)

  • Volume: 75, Issue: 1, page 47-68
  • ISSN: 0010-437X

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Voisin, Claire. "Sur le lieu de Noether-Lefschetz en degrés 6 et 7." Compositio Mathematica 75.1 (1990): 47-68. <http://eudml.org/doc/90028>.

@article{Voisin1990,
author = {Voisin, Claire},
journal = {Compositio Mathematica},
keywords = {Jacobian ring of hypersurfaces; Harris conjecture; Ciliberto-Green conjecture; finitely many exceptional components of the Noether-Lefschetz locus},
language = {fre},
number = {1},
pages = {47-68},
publisher = {Kluwer Academic Publishers},
title = {Sur le lieu de Noether-Lefschetz en degrés 6 et 7},
url = {http://eudml.org/doc/90028},
volume = {75},
year = {1990},
}

TY - JOUR
AU - Voisin, Claire
TI - Sur le lieu de Noether-Lefschetz en degrés 6 et 7
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 1
SP - 47
EP - 68
LA - fre
KW - Jacobian ring of hypersurfaces; Harris conjecture; Ciliberto-Green conjecture; finitely many exceptional components of the Noether-Lefschetz locus
UR - http://eudml.org/doc/90028
ER -

References

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  1. [1] Carlson, J. and Donagi, R., Hypersurfaces variations are maximal I, Invent. Math.89, 37-374 (1987). Zbl0639.14003MR894385
  2. [2] Carlson, J. and Griffiths, P., Infinitesimal variations of Hodge structures and the global Torelli problem, dans "Géométrie Algébrique", Angers 5-76Sijthoff and Northoff (1980). Zbl0479.14007MR605336
  3. [3] Ellingsrud, G., Gruson, L., Peskine, C. and Stomme, S.A., On the normal bundle of curves on smooth projective surfaces, Invent. Math.80, 181-184 (1985). Zbl0629.14026MR784536
  4. [4] Green, M., Macaulay representations and hyperplane restrictions. Preprint. 
  5. [5] Green, M., Koszul cohomology and the geometry of projective varieties II, J. Diff. Geom.2, 279-288 (1984). Zbl0559.14009MR772134
  6. [6] Green, M., A new proof of the explicit Noether-Lefschetz theorem, J. Diff. Geom.27, 155-159 (1988). Zbl0674.14005MR918461
  7. [7] Green, M., Components of maximal dimension in the Noether-Lesfchetz locus, J. Diff. Geom.29, 295-302 (1989). Zbl0674.14003MR982176
  8. [8] Griffiths, P., On the periods of certain rational integrals, I, II, Ann. of Math.90, 460-541 (1969). Zbl0215.08103MR260733
  9. [9] Griffiths, P. and Harris, J., Infinitesimal variations of Hodge structures II, Compo. Math.207-265, vol. 50 (1983). Zbl0576.14008MR720289
  10. [10] Griffiths, P. and Harris, J.Algebraic Geometry and local differential geometry, Ann. Scient. Ec. Norm. Sup. 4ème série, t. 12, 355-442 (1979). Zbl0426.14019MR559347
  11. [11] Hulek, K. and Harris, J., On the normal bundle of curves on complete intersection surfaces, Math. Ann.271, 31-51 (1985). Zbl0497.14025
  12. [12] Lopez, A., On the Picard group of projective surfaces, P.H.D. Thesis, Brown University. 
  13. [13] Miranda, R., Ciliberto, C. and Harris, J., General components of the Noether-Lefschetz locus and their density in the space of all surfaces, Math. Ann.282, 667-670 (1988). Zbl0671.14017MR970227
  14. [14] Voisin, C., Une précision concernant le théorème de Noether, Math. Ann.280, 605-611 (1988). Zbl0616.14030MR939921
  15. [15] Voisin, C., Composantes de petite codimension du lieu de Noether-Lefschetz, Comm. Math. Helv64 (1989) 515-526. Zbl0724.14029MR1022994
  16. [16] Griffiths, P. and Harris, J., On the Noether-Lefschetz theorem and some remarks on codimension- two cycles, Math. Ann.271, 31-51 (1985). Zbl0552.14011MR779603
  17. [17] Gotzmann, G., Eine Bedingung fur die Flachheit und das Hilbert polynom einesGraduierten Ringes, Math. Z.158 (1978) 61-70. Zbl0352.13009MR480478

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