On period maps that are open embeddings

Details On period maps that are open embeddings On period maps that are open embeddings

2005-12-21

arxiv.org/abs/math/0512489v1

Mathematics

Algebraic Geometry

23 p

Scientific paper

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.

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