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math.AG2003★ 2 cited
Hodge structures for orbifold cohomology
Javier Fernandez
We construct a polarized Hodge structure on the primitive part of Chen and Ruan's orbifold cohomology for projective -orbifolds satisfying a ``Hard Lefschetz…
math.AG2003
Opposite filtrations, variations of Hodge structure, and Frobenius modules
Javier Fernandez, Gregory Pearlstein
In this article we describe three constructions of complex variations of Hodge structure, proving the existence of interesting opposite filtrations that generalize a construction o…
math.AG2000
Asymptotic Hodge theory and quantum products
Eduardo Cattani, Javier Fernandez
Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold one may construct a polarized variation of Hodge structure over the complexifi…