2024/12/17 by Daniele Agostini, Agostini, Daniele, Ramesh, Lakshmi +1 · 1 citation
Mathematics · #05E05 #14J81 #14N05 #14N15 #14N20 #Algebraic Geometry (math.AG) #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2412.12514
openalex publication_date 2024/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The ABCT variety is defined as the closure of the image of G(2,n) under the Veronese map. We realize the ABCT variety V(3,n) as the determinantal variety of a vector bundle morphism. We use this to give a recursive formula for the fundamental class of V(3,n). As an application, we show that special Schubert coefficients of this class are given by Eulerian numbers, matching a formula by Cachazo-He-Yuan. On the way to this, we prove that the variety of configuration of points on a common divisor on a smooth variety is reduced and irreducible, generalizing a result of Caminata-Moon-Schaffler.