arXiv
Open Access
1998
Universal variations of Hodge structure and Calabi-Yau Schottky relations
Ziv Ran
Abstrak
This paper is a sequel to math.AG/9810041 (whose abstract should have mentioned the fact that a version of the jacobi complex and higher-order Kodaira-Spencer maps were also discovered independently by Esnault and Viehweg). We give a canonical algebraic construction for the variation of Hodge structure associated to the universal m-th order deformation of a compact Kahler manifold without vector fields. Specializing to the case of a Calabi-Yau manifold, we give a formula for the mth derivative of its period map and deduce formal defining equations for the image (Schottky relations).
Topik & Kata Kunci
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Ziv Ran
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- Tahun Terbit
- 1998
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