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On the period maps of projective hypersurfaces
Published online by Cambridge University Press: 14 November 2011
Abstract
This paper gives an explicit infinitesimal (to all orders) description of the period map associated to a smooth projective hypersurface, as well as related objects such as the full Hodge filtration on the middle cohomology, the local moduli space and the Gauss–Manin connection and its iterates.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 4 , 1997 , pp. 859 - 869
- Copyright
- Copyright © Royal Society of Edinburgh 1997
References
1Candelas, P., de la Ossa, X. C., Green, P. S. and Parkes, L.. A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory. Nuclear Phys. B 359 (1991), 21–74.CrossRefGoogle Scholar
2Carlson, J. A. and Griffiths, P. A.. Infinitesimal variation of Hodge structure and the global Torelli problem. In Journée de Géomeetrie Algebrique d'Angers, ed. Beauville, A., 51–76 (Amsterdam: Sijthoff et Nordhoff, 1980).Google Scholar
3Griffiths, P. A.. On the periods of certain rational integrals. Ann. Math. 90 (1969), 460–541.CrossRefGoogle Scholar
6Ran, Z.. Universal variations of Hodge structure and local Schottky relations for Calabi-Yau manifolds (Preprint).Google Scholar