2008/03/27 by Jan Stienstra, Stienstra, Jan · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #14C25 #14M25 #16G20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality #hep-th #math.AG #msc:14C25 #msc:14M25 #msc:16G20
paper · pdf · doi:10.48550/arxiv.0803.3908
12 pages, 4 figures
arxiv created 2008/03/27 · openalex publication_date 2008/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider 3-dimensional toric Calabi-Yau singularities which arise as cones over the Chow quotient for a torus acting on projective space. We show that the Chow forms of the closures of the codimension 2 orbits can very easily be written down from the quiver with superpotential which corresponds with the given CY3 singularity under the correspondence between CY3 singularities and quivers with superpotential which is part of the AdS/CFT correspondence in physics. We also prove that this provides a new method for computing the principal A-determinant in the theory of Gelfand-Kapranov-Zelevinsky.