Linear Structure on Calabi-Yau Moduli Spaces

Mathematics – Algebraic Geometry

Scientific paper

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9 pages, amstex2.1

Scientific paper

We show that the formal moduli space of a Calabi-Yau manifold $X^n$ carries a
linear structure, as predicted by mirror symmetry. This linear structure is
canonically associated to a splitting of the Hodge filtration on $H^n(X)$.

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