2005/10/25 by Elisa Gorla, Gorla, Elisa · 2 citations
Computer Science · Mathematics · #13C40 #14M06 #14M12 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications #math.AC #math.AG #msc:13C40 #msc:14M06 #msc:14M12
paper · pdf · doi:10.48550/arxiv.math/0510529
15 pages, contains an improved version of Theorem 1.25 (now 1.23)
openalex publication_date 2005/10/25 · arxiv created 2006/04/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the family of ideals defined by mixed size minors of two-sided ladders of indeterminates. We compute their Groebner bases with respect to a skew-diagonal monomial order, then we use them to compute the height of the ideals. We show that these ideals correspond to a family of irreducible projective varieties, that we call mixed ladder determinantal varieties. We show that these varieties are arithmetically Cohen-Macaulay. We characterize the arithmetically Gorenstein ones, among those that satisfy a technical condition. Our main result consists in proving that mixed ladder determinantal varieties belong to the same G-biliaison class of a linear variety.