Generic torelli for projective hypersurfaces

Ron Donagi

Compositio Mathematica (1983)

  • Volume: 50, Issue: 2-3, page 325-353
  • ISSN: 0010-437X

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Donagi, Ron. "Generic torelli for projective hypersurfaces." Compositio Mathematica 50.2-3 (1983): 325-353. <http://eudml.org/doc/89627>.

@article{Donagi1983,
author = {Donagi, Ron},
journal = {Compositio Mathematica},
keywords = {variation of Hodge filtration; global Torelli theorem; period map; Hodge structure; Jacobian ring; infinitesimal variations},
language = {eng},
number = {2-3},
pages = {325-353},
publisher = {Martinus Nijhoff Publishers},
title = {Generic torelli for projective hypersurfaces},
url = {http://eudml.org/doc/89627},
volume = {50},
year = {1983},
}

TY - JOUR
AU - Donagi, Ron
TI - Generic torelli for projective hypersurfaces
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 50
IS - 2-3
SP - 325
EP - 353
LA - eng
KW - variation of Hodge filtration; global Torelli theorem; period map; Hodge structure; Jacobian ring; infinitesimal variations
UR - http://eudml.org/doc/89627
ER -

References

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  1. [1] A. Andreotti: On a theorem of Torelli. Am. J. Math.80 (1958) 801-828. Zbl0084.17304MR102518
  2. [2] R. Accola: On Castelnuovo's inequality for algebraic curves I. Trans. AMS. 251 (1979) 357-373. Zbl0417.14021MR531984
  3. [3] F. Catanese: The moduli and global period mapping of surfaces with K2 = pg = 1. Comp. Math.41 (1980) 401-414. Zbl0444.14008MR589089
  4. [4] J. Carlson and P. Griffiths: Infinitesimal variations of Hodge structure and the global Torelli problem. Journees de geometrie algebrique d'Angers, Sijthoff and Nordhoff (1980) 51-76. Zbl0479.14007MR605336
  5. [5] J. Carlson, M. Green, P. Griffiths and J. Harris: Infinitesimal variation of Hodge structure. Comp. Math.50 (1983) 109-205. Zbl0531.14006MR720288
  6. [6] H. Clemens and P. Griffiths: The intermediate Jacobian of the cubic threefold. Ann. Math.95 (1972) 281-356. Zbl0214.48302MR302652
  7. [7] P. Griffiths: On the periods of certain rational integrals. Ann. Math.90 (1969) 460-541. Zbl0215.08103MR260733
  8. [8] P. Griffiths: Infinitesimal variations of Hodge structures III: Determinantal varieties and the infinitesimal invariant of normal functions. Comp. Math.50 (1983) 267-324. Zbl0576.14009MR720290
  9. [9] P. Griffiths and J. Harris: Principles of algebraic geometry, John Wiley and Sons, NY (1978). Zbl0408.14001MR507725
  10. [10] P. Griffiths and J. Harris: Infinitesimal variations of Hodge structure II : An infinitesimal invariant of Hodge classes. Comp. Math.50 (1983) 207-265. Zbl0576.14008MR720289
  11. [ 11 J. Mather: Stability of C∞ mappings: IV. Classification of stable germs by R-algebras. Publ. Math. I.H.E.S.37 (1970) 223-248. Zbl0202.55102
  12. [12] J. Mather and S. Yau: Classification of isolated hypersurface singularities by their moduli algebras. Preprint. Zbl0499.32008MR674404
  13. [13] F. Oort and J. Steenbrink: The local Torelli problem for algebraic curves. Journees de Geometrie Algebrique d'Angers, Sijthoff and Nordhoff (1980), 157-204. Zbl0444.14007MR605341
  14. [14] A. Piateski-Shapiro and I. ŠAFAREVICH: A Torelli theorem for algebraic surfaces of type K3. Izv. Akad. Nauk.35 (1971) 530-572. Zbl0219.14021
  15. [15] A. Todorov: Surfaces of general type with pg = 1 and (K·K) = 1. Ann. Ec. Norm. Sup.13 (1980) 1-21. Zbl0478.14030

Citations in EuDML Documents

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  1. David A. Cox, Mark L. Green, Polynomial structures and generic Torelli for projective hypersurfaces
  2. Mark L. Green, The period map for hypersurface sections of high degree of an arbitrary variety
  3. Loring Tu, Macaulay's theorem and local Torelli for weighted hypersurfaces
  4. Kęstutis Ivinskis, A variational Torelli theorem for cyclic coverings of high degree
  5. Phillip Griffiths, Joe Harris, Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes
  6. Kazuhiro Konno, On the variational Torelli problem for complete intersections
  7. Arnaud Beauville, Le problème de Torelli
  8. Rita Pardini, On the period map for abelian covers of projective varieties

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