Twistor property of GKZ-hypergeometric systems
Algebraic Geometry
2015-12-22 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.1501.04146,
title = {Twistor property of GKZ-hypergeometric systems},
author = {Takuro Mochizuki},
journal= {arXiv preprint arXiv:1501.04146},
year = {2015}
}
Comments
Some arguments are simplified. (1) the comparisons of graded polarizations in section 5, (2) the comparison with (better behaved) GKZ-hypergeometric systems