Linear Structure on Calabi-Yau Moduli Spaces

1993/06/03 by Z. Ran, Ran, Z.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9306003

9 pages, amstex2.1

arxiv created 1993/06/10 · arxiv updated 2009/11/30

Abstract

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

Related

• Families of Calabi-Yau manifolds and mirror symmetry
• Geometric Aspects of Mirror Symmetry (with SYZ for Rigid CY manifolds)
• Special geometry on Calabi--Yau moduli spaces and Q--invariant Milnor\n rings
• Recent Development on the Geometry of the Teichmuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds
• Geometric Aspects of Mirror Symmetry