The Betti Numbers of a Determinantal Variety

2019/03/16 by Mahir Bilen Can, Can, Mahir Bilen
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1903.06849

openalex publication_date 2019/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the Poincaré polynomial of the determinantal variety \det = 0\ in the projective space associated with the monoid of n× n matrices.

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