Difference Equation for Quintic 3-Fold
Algebraic Geometry
2022-06-15 v4
Abstract
In this paper, we use the Mellin-Barnes-Watson method to relate solutions of a certain type of -difference equations at and . We consider two special cases; the first is the -difference equation of -theoretic -function of the quintic, which is degree 25; we use Adams' method to find the extra 20 solutions at . The second special case is a fuchsian case, which is confluent to the differential equation of the cohomological -function of the quintic. We compute the connection matrix and study the confluence of the -difference structure.
Cite
@article{arxiv.2011.07527,
title = {Difference Equation for Quintic 3-Fold},
author = {Yaoxiong Wen},
journal= {arXiv preprint arXiv:2011.07527},
year = {2022}
}