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math.AG2000
The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map
Anvar R. Mavlyutov
We solved the long-standing problem of describing the cohomology ring of semiample hypersurfaces in complete simplicial toric varieties. Also, the monomial-divisor mirror map is ge…
math.AG2000
On the chiral ring of Calabi-Yau hypersurfaces in toric varieties
Anvar R. Mavlyutov
We study the B-model chiral ring of Calabi-Yau hypersurfaces in Batyrev's mirror construction. The main result is an explicit description of a subring of the chiral ring of semiamp…