Computation of Principal A-determinants through Dimer Dynamics

2009/01/23 by Jan Stienstra, Stienstra, Jan · 1 citation
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #82B20 (Primary) 33C70 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality #Polynomial and algebraic computation #Tensor decomposition and applications #hep-th #math.AG #msc:33C70 #msc:82B20

paper · pdf · doi:10.48550/arxiv.0901.3681

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

arxiv created 2009/01/23 · openalex publication_date 2009/01/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Chow Forms, Chow Quotients and Quivers with Superpotential

Cited by

• Dimer models and Calabi-Yau algebras

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