English

Computation of Principal A-determinants through Dimer Dynamics

Algebraic Geometry 2009-01-26 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0901.3681,
  title  = {Computation of Principal A-determinants through Dimer Dynamics},
  author = {Jan Stienstra},
  journal= {arXiv preprint arXiv:0901.3681},
  year   = {2009}
}

Comments

17 pages, to appear in proceedings of conference 'New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry', Kyoto, January 2008

R2 v1 2026-06-21T12:04:00.171Z