On period maps that are open embeddings

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For certain complex projective manifolds (such as K3 surfaces and their higher dimensional analogues, the complex symplectic projective manifolds) the period map takes values in a locally symmetric variety of type IV. It is often an open embedding and in such cases it has been observed that the image is the complement of a locally symmetric (Heegner) divisor. We explain that phenomenon and get our hands on the complementary divisor in terms of geometric data.
23 p

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Algebraic Geometry, 14D07; 32N15

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http://salesiana.dossiersoluciones.com/handle/123456789/106334

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512489
 http://arxiv.org/abs/math/0512489

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arXiv