Twistor property of GKZ-hypergeometric systems
Takuro Mochizuki
TL;DR
This paper investigates the twistor properties of GKZ-hypergeometric systems using mixed twistor D-modules, providing new insights into their push-forward, specialization, and applications in local mirror symmetry.
Contribution
It introduces a novel approach to analyze GKZ-hypergeometric systems through mixed twistor D-modules, revealing their twistor properties and isomorphisms in local mirror symmetry.
Findings
Describes push-forward and specialization of mixed twistor D-modules
Establishes twistor property of certain GKZ-hypergeometric systems
Obtains isomorphisms of mixed TEP-structures in mirror symmetry
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.
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Taxonomy
TopicsPolynomial and algebraic computation · Nonlinear Waves and Solitons · Commutative Algebra and Its Applications