Twistor property of GKZ-hypergeometric systems

Abstract

We study the mixed twistor D-modules associated to meromorphic functions. In particular, we describe their push-forward and specialization under some situations. We apply the results to study the twistor property of a type of GKZ-hypergeometric systems, and to study their specializations. As a result, we obtain some isomorphisms of mixed TEP-structures in the local mirror symmetry.

Some arguments are simplified. (1) the comparisons of graded polarizations in section 5, (2) the comparison with (better behaved) GKZ-hypergeometric systems

References in corpus (1)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules

Cited by in corpus (7)

• Hodge theory of Kloosterman connections
• Algebraic aspects of hypergeometric differential equations
• Hodge-Tate conditions for Landau-Ginzburg models
• Hypergeometric Hodge modules
• Hodge numbers of motives attached to Kloosterman and Airy moments
• A twistor approach to the Kontsevich complexes
• The Künneth Formula for the Twisted de Rham and Higgs Cohomologies