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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…
math.AG1999
Rational Hypergeometric Functions
Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels
Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that…
math.AG1998
The A-hypergeometric System Associated with a Monomial Curve
Eduardo Cattani, Carlos D'Andrea, Alicia Dickenstein
We make a detailed analysis of the A-hypergeometric system (or GKZ system) associated with a monomial curve and integral, hence resonant, exponents. We characterize the Laurent pol…