Generic torelli for projective hypersurfaces
Compositio Mathematica (1983)
- Volume: 50, Issue: 2-3, page 325-353
- ISSN: 0010-437X
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topDonagi, 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
top- [1] A. Andreotti: On a theorem of Torelli. Am. J. Math.80 (1958) 801-828. Zbl0084.17304MR102518
- [2] R. Accola: On Castelnuovo's inequality for algebraic curves I. Trans. AMS. 251 (1979) 357-373. Zbl0417.14021MR531984
- [3] F. Catanese: The moduli and global period mapping of surfaces with K2 = pg = 1. Comp. Math.41 (1980) 401-414. Zbl0444.14008MR589089
- [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] J. Carlson, M. Green, P. Griffiths and J. Harris: Infinitesimal variation of Hodge structure. Comp. Math.50 (1983) 109-205. Zbl0531.14006MR720288
- [6] H. Clemens and P. Griffiths: The intermediate Jacobian of the cubic threefold. Ann. Math.95 (1972) 281-356. Zbl0214.48302MR302652
- [7] P. Griffiths: On the periods of certain rational integrals. Ann. Math.90 (1969) 460-541. Zbl0215.08103MR260733
- [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] P. Griffiths and J. Harris: Principles of algebraic geometry, John Wiley and Sons, NY (1978). Zbl0408.14001MR507725
- [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 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] J. Mather and S. Yau: Classification of isolated hypersurface singularities by their moduli algebras. Preprint. Zbl0499.32008MR674404
- [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] 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] 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
top- David A. Cox, Mark L. Green, Polynomial structures and generic Torelli for projective hypersurfaces
- Mark L. Green, The period map for hypersurface sections of high degree of an arbitrary variety
- Loring Tu, Macaulay's theorem and local Torelli for weighted hypersurfaces
- Kęstutis Ivinskis, A variational Torelli theorem for cyclic coverings of high degree
- Phillip Griffiths, Joe Harris, Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes
- Kazuhiro Konno, On the variational Torelli problem for complete intersections
- Arnaud Beauville, Le problème de Torelli
- Rita Pardini, On the period map for abelian covers of projective varieties
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