Computation of Principal A-determinants through Dimer Dynamics

Details Computation of Principal A-determinants through Dimer Dynamics Computation of Principal A-determinants through Dimer Dynamics

2009-01-23

arxiv.org/abs/0901.3681v1

Mathematics

Algebraic Geometry

17 pages, to appear in proceedings of conference 'New developments in Algebraic Geometry, Integrable Systems and Mirror symmet

Scientific paper

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.

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