Computation of Principal A-determinants through Dimer Dynamics
Abstract
Description
In this note we translate the pictorial description of Gulotta's efficient inverse algorithm (arXiv:0807.3012) into matrix operations, so that it can be implemented on a computer. As an application we point out that this in combination with results from our paper arXiv:0803.3908 provides a fast algorithm for computing the principal A-determinant of Gelfand, Kapranov and Zelevinsky for hypergeometric systems in two variables.
17 pages, to appear in proceedings of conference 'New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry', Kyoto, January 2008
17 pages, to appear in proceedings of conference 'New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry', Kyoto, January 2008