Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-30T23:56:16.798Z Has data issue: false hasContentIssue false
  • English
  • Français

On the period maps of projective hypersurfaces

Published online by Cambridge University Press:  14 November 2011

Z. Ran
Z. Ran
Affiliation:
Department of Mathematical Sciences, Science Laboratories, University of Durham, South Road, Durham DH1 3LE, U.K
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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
4Liu, G.. Differential operators as certain quotient spaces. (Preprint).Google Scholar
5Ran, Z.. Canonical infinitesimal deformations (Preprint).Google Scholar
6Ran, Z.. Universal variations of Hodge structure and local Schottky relations for Calabi-Yau manifolds (Preprint).Google Scholar
7Szpiro, L.. Travaux de Kempf, Kleiman-Laksov etc. (Sem. Bourbaki, 1971).Google Scholar
8Voisin, C.. ‘Symétrie Miroir’. IHP notes.Google Scholar